Learn Greatest Common Factor (GCF) & Least Common Multiple (LCM) - [7]

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In this lesson, we will learn how to find the greatest common factor (gcf) and least common multiple (lcm) of two numbers. These ideas are important when working with fractions, finding common denominators to add fractions, and other operations with fractions and numbers. The GCF is found by finding the factors of numbers and looking to find the largest (greatest) factor common between two numbers. Factors are simply numbers that can be divided into a number. To find the least common multiple, we just find the multiples of the given numbers and look for the smallest (least) multiple common to both lists.

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Another tip to keep in mind when creating a list of factors for a number: Once you've reached the halfway point you can stop, because a number can't have any *natural* factors greater than half its size - with the exception of the greater of its *identical* factors (1 and the number itself) and we already know as a given that the number is a factor of itself.

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i have a question what if the number factor your gonna solve is the same what will happen? example factor of 16 and factor of 16 what will happen?

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great method of deduction....now is factorization used in algebra?

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gcf of 10 and 25: 5

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lcm of 2 and 7: 14

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Are GCF and HCF are same ?

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I think the GCF of any two consecutive numbers is one and LCM is their product.

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@@MathAndScience similarly,we can find the GCF and LCM of any two consecutive even numbers easily. The GCF is always two and LCM is obtained by dividing both numbers by two and multiplying their quotients along with two.
Eg. 8,10 LCM=2.
GCF --> 8/2=4, 10/2=5,
4×5×2=40.

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Can it be 3.5 times 2 is = 7?

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