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Which is greater gcf or LCM?

The LCM of two numbers will never be less than the GCF.


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.


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.


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.


The GCF of two numbers is 8 Both of the numbers are greater than 45 and less than 60 What are the numbers?

48 and 56


The gcf if a pair of numbers is always equal to or less than the lesser of the two numbers true or false?

False


How do you know when two pairs of numbers will have an LCM that is less than the product of the numbers?

When their GCF is greater than 1. When they have prime factors in common.


Can two numbers have more than one GCF?

No; two numbers can have only 1 GCF.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


How Given any two numbers which is greater the LCM of the numbers or. The GCF of the numbers why?

The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number. The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.


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).


What is a number that has 360 as a GCF and 12 as a LCM?

You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.