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Is the greatest common factor of two numbers is equal to the lesser of the number?
Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.
What else can I help you with?
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?
I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.
What is the least common multiple of two numbers if the lesser number is a factor of the greater number?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210 For the variables, select the highest exponent. The LCM of the above expression is 210x4y5z4
The gcf if a pair of numbers is always equal to or less than the lesser of the two numbers true or false?
False
Is a factor a multiple?
As a general rule, multiples tend to be larger than factors. This is not always true. 9 is a factor of 27. 6 is a multiple of 3. The important distinction is in the relationship to the number they are factors or multiples of. A factor will be equal to or lesser than the number. A multiple will be equal to or greater than the number.
Is it true that when one number is multiple of another the greatest common factor of the numbers is greater of the numbers?
No, the lesser.
The greatest common factor of two numbers is 15 The greater number is 75 What are the possible values of the lesser number?
7
Is the GCF of two numbers equal to the lesser of the numbers?
Oh honey, no. The Greatest Common Factor (GCF) of two numbers is the largest number that divides both of them evenly. It's not just the lesser of the two numbers, it's the biggest number that can play nice with both of them. So, don't sell the GCF short, it's got a big job to do.
What conjecture must be true about the least common multiple of any number pairs in which one number is the greatest common factor of the other number?
Given a pair of numbers, if the lesser of the two is the GCF, the greater of the two is the LCM. This happens when one of the numbers is a factor of the other.
If one number is a factor of another number will the greatest common factor will be the lesser number. explain?
If one number is a factor of another number, the greatest common factor will be the lesser number. Example: 3 and 9 3 is a factor of 9 3 is a factor of 3 There can be no higher factor of a number than the number itself. Therefore, the GCF of 3 and 9 is 3.
When is the GCF of two numbers the same as the lesser of the two numbers?
When that number is a factor of the greater one.
If one number is a factor of another number will the GCF always be the lesser number?
Consider this:If A can be split into AB, where B is the lesser number (factor), then it can divide in. Thus, the GCF of the 2 numbers must be the lesser number, so that is true.
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
Can the Greatest common factor of 18 and 36 be less than 18?
If it isn't, then it can't be. The GCF of any two positive integers can never be greater than the lesser number.
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.
Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?
I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.
Is the gcf of a pair of numbers ever greater than both numbers?
No, it's never greater than the lesser number.
