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Ex: 30 and 42
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
Well, isn't that just a happy little question! When a set of numbers has a greatest common factor (GCF) greater than 1, it simply means that there are common factors shared among the numbers that are larger than 1. It's like finding the biggest brush in your collection that can paint all the numbers with the same beautiful color. Just remember, numbers can always find common ground to create something truly special!
A set of numbers can have a greatest common factor (GCF) greater than 1 when there are common factors other than 1 that divide all the numbers in the set evenly. For example, if the numbers in the set are all multiples of a Prime number greater than 1, then that prime number would be the GCF. Another scenario is when the numbers in the set have multiple common factors greater than 1 that are shared among them, leading to a GCF greater than 1.
Well, honey, it's simple math. If you have a set of numbers that have common factors greater than 1, then their Greatest Common Factor (GCF) will also be greater than 1. It's like finding that one friend who always brings the good snacks to the party - they're the common factor that everyone loves. So, grab your calculators and start crunching those numbers, sweetie!
If each member of the set of numbers is a multiple of some number, k, then the GCF for the set is k. k can be an integer greater than 1.
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What is the greatest common factor of 1 12 and 24?
In a set of numbers if one of the numbers is 1 then GCF is 1.Reason:GCF of a set of numbers can never be greater than the smallest number of the set. So in this case GCF can't be greater than 1.Since 1 is a factor of every number then it is the factor shared by every number.So 1 is always in the list of common factors.But here one of the numbers is 1 then GCF is 1 because 1 is the only common factor.
What is the greatest common factor of two consecutive numbers?
The GCF of two consecutive numbers is always 1. The GCF of any set of numbers can't be greater than the smallest of the differences between the numbers.
What is the greatest common factor of 120 150 and 180?
The GCF of 120, 150, and 180 is 30. The GCF of a set can't be larger than the smallest difference between numbers in the set, which, in this case, is 30. Since 30 is a factor of all of the numbers of the set, it is the GCF.
What is the greatest common factor of 16 18 and 30?
The GCF of 16, 18, and 30 is 2. The GCF of the set can't be any greater than the smallest difference between two numbers in the set. The difference between 16 and 18 is 2, and so that's the highest possible GCF. Noting that each number in the set is even, we then know that the GCF is, in fact, 2.The GCF is 2.
Is the set of even natural numbers greater than 100 a infinite set?
Yes.
Is greater the LCM of the numbers or the numbers or the GCF of the numbers?
The LCM will never be less than the GCF of a set of numbers.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
Which is greater the GCF of a number or the LCM of a number?
The LCM of a set of numbers will never be less than the GCF.
Which is greater the LCM of the number or GCF of the number?
The LCM of a set of numbers will never be less than the GCF.
How can the GCF of 16 and 42 be less than 16?
The GCF of any set of numbers must be less than or equal to the smallest of the numbers. It is the greatest factor that goes into each of the set of numbers and so cannot be greater than any of them.
What is the greatest common factor of 1 12 and 24?
In a set of numbers if one of the numbers is 1 then GCF is 1.Reason:GCF of a set of numbers can never be greater than the smallest number of the set. So in this case GCF can't be greater than 1.Since 1 is a factor of every number then it is the factor shared by every number.So 1 is always in the list of common factors.But here one of the numbers is 1 then GCF is 1 because 1 is the only common factor.
The GCF of an odd and even number is 17. The greater number is 51. Find the other number?
The GCF of any set of numbers implies that all numbers in the set are multiples of the GCF. The multiples of 17 are 17,34,51 etc. If the greater number is 51 (which is an odd number) then the only solution for the other number (which is even and less than 51) is 34.
Can a pair of numbers greater than 100 have the same greatest common factor as a pair of numbers under 100 other than 1?
Yes. Any set of consecutive even numbers has a GCF of 2.
What numbers are the whole numbers greater than zero?
Natural numbers consist of the set of all whole numbers greater than zero.
Will a pair of numbers both more than 100 always have a greater Greatest common factor than a pair of numbers less than 100?
Yes. 4 and 8 have a GCF of 4. 104 and 108 have a GCF of 4. Any set of prime numbers has a GCF of 1, no matter how large or small they are.
What is greater the GCF of 4 and 8 or the LCM?
Given a set of number, the GCF is a factor of every one of them. As a factor, it cannot be larger than them so the GCF is at most as large as the smallest of the number in the set.The LCM of the same set is a multiple of each element in the set. The LCM must, therefore, be at least as great as the largest element in the set.Thus if x is the smallest member of a set S and y is the largest, thenGCF
When is the least common multiple of a pair of numbers that number?
When one of the numbers is a multiple of the other, the greater is the LCM and the lesser is the GCF of that set.
