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Because some numbers have a lot of factors. Consider 2520. The factor pairs (2520,1)(504,5)(360,7)(315,8)(280,9)(72,35)(63,40)(56,45) all are relatively prime, which means that they have a GCF of 1. Whenever a pair of numbers has a GCF of 1, the LCM is their product, which in this case is 2520. So here are 8 distinct sets of numbers with the same GCF and LCM. It happens more frequently the more factors you have.
the purpose of finding the gcf is to see if the two numbers are in lowest term
Because factors and divisors are the same thing: numbers that divide into a product evenly.
Finding the GCF helps to reduce fractions and factor polynomials.
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What is the greatest common factor of45 and 75?
There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
What is the greatest common factor of 1440?
There cannot be a greatest common factor of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
How do you find the greatest common factor when there are no common factors?
There is always a common factor. If there are no common prime factors, the GCF is 1.
How do you find the greatest common factor of 10 and 17?
the greatest common factor is 1 because it's the only factor of 10 that 17 can be divided by without a remainder.
What is the highest common factor of 24 and 39?
There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
Do you do a factor rainbow for greatest common factor?
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
Find the greatest common factor of 84 and 72?
The Greatest Common Factor (GCF) is: 12
How do you find the greatest common factor of 154 and 418?
The greatest common factor (GCF) is 2.
Find the greatest common factor of 16 and 20?
The greatest common factor (GCF) is 4.
How do you find the greatest common factor of 3 and 5?
The only factor they have in common is 1. It has to be the greatest.
How do you find the greatest common factor of 45 and 80?
The greatest common factor (GCF) is 5.
Find the greatest common factor of 18 and 75?
The greatest common factor (GCF) is 3.
Find a greatest common factor of 144?
There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.
Why is it important to find the greatest common factor of a number?
There's no such thing as the greatest common factor of "a number". "Common" means "same for both". There can't possibly be anything 'common' until you have at least two separate numbers.
How do you find the greatest common factor of 35 and 56?
greatest common factor of 35 and 56 = 7
Find the Greatest Common Factor of 45 and 65?
The Greatest Common Factor of 45, 65 is 5.
Find the greatest common factor of 8a3b2 and 12ab4?
the greatest common factor of 8a3b2 and 12ab4 is 24a3b4
