Greatest Common Factor of 8506/634, 3924/8512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8506/634, 3924/8512

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 8506/634,3924/8512

Given fractions are 8506/634,3924/8512

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 8506,3924

Greatest Common Factor of Numerators i.e. GCF of 8506,3924 is 2 .

LCM of Denominators means LCM of 634,8512 as per the given fractions.

LCM of 634,8512 is 2698304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8506,3924

GCF of Fractions 8506/634,3924/8512 is 2/2698304

2 8506, 3924
4253, 1962

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

Greatest Common Factor of 8506,3924 By Matching Biggest Common Factor Method

Greatest Common Factor of 8506,3924 By Matching Biggest Common Factor Method

Factors of 8506

List of positive integer factors of 8506 that divides 8506 without a remainder.

1,2,4253,8506

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924

Greatest Common Factor

We found the factors 8506,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,3924 is 2.

Lets's calculate LCM of 634,8512

2 634, 8512
317, 4256

∴ So the LCM of the given numbers is 2 x 317 x 4256 = 2698304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2698304

Therefore, the GCF of Fractions 8506/634,3924/8512 is 2/2698304

Least Common Multiple of 634,8512 with GCF Formula

Least Common Multiple of 634,8512 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 634,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,8512) = 2

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

GCF(634,8512) x common factors =2 x 1 = 2

LCM(634,8512) = ( 634 × 8512 ) / 2

LCM(634,8512) = 5396608 / 2

LCM(634,8512) = 2698304


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 8506/634, 3924/8512

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 8506/634, 3924/8512?

Answer: GCF of Numerators as per given numbers 8506/634, 3924/8512 is

GCF of Numerators i.e. for 8506,3924 is 2

LCM of denominators i.e. for 634,8512 is 2698304.

Thus, GCF of Fractions is 2/2698304.Finally, GCF of Fractions for 8506/634, 3924/8512 is 2/2698304.