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What are three numbers whose Greatest common factor is 12 with one of the numbers being greater than 100?
12, 24, 120
If the greatest common factor of two numbers is greater than both numbers is it sometimes always or never?
It's never. A factor divides into a number without remainder, so the biggest it can be is the number itself.
Will two consecutive numbers ever have a greatest common factor greater than 1?
No. The GCF of any two numbers is also a factor of their difference. The difference between consecutive numbers is 1 so their GCF must also be a factor of 1. The only factor of 1 is 1 - and hence the result.
Natural numbers greater than one that have no other factor except one and themselves?
Those are called prime numbers.
Can gcf of 18 and 36 be greater than 18?
No, the GCF of two numbers can never be greater than the smaller number.
Is the Greatest common factor of a pair of numbers even greater than both numbers?
No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.
When will the product of given numbers be greater than the LCM of the same given numbers?
When the numbers have a common factor (other than 1).
What is the least common factor for two numbers if there are no common factors greater than 1?
The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
Can the greatest common factor of positive numbers be greater than both numbers?
No, the greatest common factor cannot be larger than any of the numbers in the set.
Is the Greatest Common Factor of two numbers greater than both numbers?
Yes it is.
When is the LCM of 2 numbers less than their product?
When they have a common prime factor. When their GCF is greater than 1.
Can the greatest common factor of any set of numbers be greater than any one of the numbers?
No.
Two prime numbers greater than 2 have 2 as a common factor?
No prime number greater than 2 has 2 as a factor. A prime number has only two factors, 1 and the number itself. All prime numbers have 1 as a common factor. Numbers with any number besides 1 as common factors are composite numbers.
Can the greatest common factor of 2n plus 18 be greater than 18?
No, a factor cannot be larger than the numbers it is compared to.
When is the LCM of two numbers neither of the numbers?
When their GCF is greater than 1. When they have a prime factor in common.
Is the Greatest common factor a pair of numbers ever greater than both nbrrs?
No, it's never greater than the smallest number.
What are 2 numbers greater than 100 that have the greatest common factor of 30?
300 and 330
