Greatest Common Factor of 572/190, 9656/4312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/190, 9656/4312

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 572/190,9656/4312

Given fractions are 572/190,9656/4312

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 572,9656

Greatest Common Factor of Numerators i.e. GCF of 572,9656 is 4 .

LCM of Denominators means LCM of 190,4312 as per the given fractions.

LCM of 190,4312 is 409640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,9656

GCF of Fractions 572/190,9656/4312 is 4/409640

2 572, 9656
2 286, 4828
143, 2414

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 572,9656 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,9656 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Greatest Common Factor

We found the factors 572,9656 . The biggest common factor number is the GCF number.
So the greatest common factor 572,9656 is 4.

Lets's calculate LCM of 190,4312

2 190, 4312
95, 2156

∴ So the LCM of the given numbers is 2 x 95 x 2156 = 409640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/409640

Therefore, the GCF of Fractions 572/190,9656/4312 is 4/409640

Least Common Multiple of 190,4312 with GCF Formula

Least Common Multiple of 190,4312 with GCF Formula

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

We need to calculate greatest common factor of 190,4312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,4312) = 2

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

GCF(190,4312) x common factors =2 x 1 = 2

LCM(190,4312) = ( 190 × 4312 ) / 2

LCM(190,4312) = 819280 / 2

LCM(190,4312) = 409640


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 572/190, 9656/4312

1. 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.

2. What is the GCF of Fractions for 572/190, 9656/4312?

Answer: GCF of Numerators as per given numbers 572/190, 9656/4312 is

GCF of Numerators i.e. for 572,9656 is 4

LCM of denominators i.e. for 190,4312 is 409640.

Thus, GCF of Fractions is 4/409640.Finally, GCF of Fractions for 572/190, 9656/4312 is 4/409640.