How to Find GCF of 462/422, 636/939?

GCF of 462/422, 636/939

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 462/422, 636/939 i.e 6/396258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/422, 636/939.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 462/422,636/939?

Given fractions are 462/422,636/939

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 462/422,636/939, numerators are 462,636

Denominators are 422,939

The GCF of 462,636 is 6 .

LCM of 422,939 is 396258.

The greatest common factor of 462/422,636/939 = [GCF of 462,636]/[LCM of 422,939]= 6/396258

Therefore, the GCF of 462/422,636/939 is 6/396258.

Greatest Common Factor of 462,636

To find the highest common factor of 462,636, we have to find the factors of both numbers and list the highest common factor.

The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The HCF of 462,636 is 6.

Lets's calculate GCF of 462,636

Greatest Common Factor (GCF) of 462,636 By Common Division

2	462, 636
3	231, 318
	77, 106

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 462,636 By Matching Biggest Common Factor Method

Now, list down the factors of 462

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Now, list down the factors of 636

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 462,636 . The biggest common factor number is the GCF number.
So the greatest common factor 462,636 is 6.

Lets's calculate LCM of 422,939

Lowest Common Multiple of 422,939 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 396258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/396258

Therefore, the GCF of Fractions 462/422,636/939 is 6/396258

Least Common Multiple of 422,939 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 422,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,939) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(422,939) x common factors =1 x 1 = 1

LCM(422,939) = ( 422 × 939 ) / 1

LCM(422,939) = 396258 / 1

LCM(422,939) = 396258

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FAQs on GCF of Fractions of 462/422, 636/939

1. What is the HCF of 462,636?

The HCF of 462,636 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 462/422, 636/939?

Answer: GCF of Numerators as per given numbers 462/422, 636/939 is

GCF of Numerators i.e. for 462,636 is 6

LCM of denominators i.e. for 422,939 is 396258.

Thus, GCF of Fractions is 6/396258.Finally, GCF of Fractions for 462/422, 636/939 is 6/396258.