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Will a pair of numbers each greater than 100 always have a greater gcf than a pair of numbers that are both less than 100?
Not at all. For example: gcf(101, 102) = 1 gcf(40, 80) = 40
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
Does a pair of numbers each greater than 100 always have a greater greatest common denominator than a pair of numbers that are both less than 100?
No. Although the greatest common denominator of a pair of numbers is infinite, the size of the numbers doesn't affect the GCF as much as the difference between them. The GCF of 100 and 102 is 2. The GCf of 33 and 66 is 33.
Is the GCF of 2 different numbers greater than the LCM of the numbers?
No.The gcf of two numbers is LESS THAN OR EQUAL than their lcm.The gcf of two DIFFERENT numbes is LESS THAN their lcm.
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.
Why is it false when a pair of numbers each greater than 100 will always have a greater greatest common factor than a pair of numbers that are both less than 100?
Because there are many examples where that isn't so. The GCF of 36 and 24 is 12. The GCF of 151 and 149 is 1.
Can the GCF of 2 numbers be less than the first number?
The GCF of 2 numbers can be less than either number.
How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
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.
Can a pair of numbers greater than a 100 have the same greatest common factor as a pair of numbers under 100?
Yes. Simple example: pick 2 primes greater than 100 and 2 less than 100. For each pair, GCF = 1
Can the gcf of 16 be less than 16 explain?
There is no GCF of 16. You need at least two numbers to find a GCF. The GCF of something and 16 could possibly be less than 16.
What 3 numbers GCF is 12 with one of the numbers being greater than 100?
12, (any multiple of 12 less than 100), any multiple of 12 greater than 100) Example: 12, 24, and 108
