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Factorise 25 and 900 into their prime factorisations:
25 = 5²
900 = 2² x 3² x 5²
With a GCF of 25 = 5², that leaves 2² × 3² which must be distributed between the two numbers so that there are no common primes. There are two ways to do this:
- All of 2² × 3² is in one of the numbers, making the two numbers 5² = 25 and 2² x 3² x 5² = 900
- Put the prime 2 in one number and the prime 3 in the other, making the two numbers: 5² × 2² = 100 and 5² × 3² = 225
The two possible numbers are:
- 25 and 900; or
- 100 and 225.
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Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
How do you change GCF into a LCM with 3 numbers?
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
What is the relationship does the greatest common factor and the LCM have?
The product of the GCF and LCM is equal to the product of the original two numbers.
Can two numbers have 16 as their GCF and 204 as their LCM?
No, they cannot. The GCF must evenly divide the LCM.
If the GCF of two numbers is 15 and their product is 300 what is their LCM?
The general rule is that the product of the LCM and the GCF is equal to the product of the original two numbers. That would make the answer 20. Lets overlook the fact that two numbers with a GCF of 15 and an LCM of 20 don't exist.
How do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
Can the GCF of two different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
What is the product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
What is the LCM and GCF of 486472?
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
Can the GCF of 2 different numbers is the LCM of the numbers?
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
If the GCF of two numbers and the LCM is 144 what would the numbers be?
If the GCF and the LCM are both 144, then so are both of the numbers.
How do you change GCF into a LCM with 3 numbers?
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
What is the LCM of 2 numbers that is 24 and the gcf is 12?
If the GCF of two numbers is 12 and the LCM is 24, the two numbers are 12 and 24.
What is the LCM is the GCF is 1?
If the GCF is 1, the LCM is the two numbers multiplied together.
How do you find GCF knowing LCM?
The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.
