Greatest Common Factor of 4524/68, 2704/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4524/68, 2704/572

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 4524/68,2704/572

Given fractions are 4524/68,2704/572

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 4524,2704

Greatest Common Factor of Numerators i.e. GCF of 4524,2704 is 52 .

LCM of Denominators means LCM of 68,572 as per the given fractions.

LCM of 68,572 is 9724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4524,2704

GCF of Fractions 4524/68,2704/572 is 52/9724

2 4524, 2704
2 2262, 1352
13 1131, 676
87, 52

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 4524,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 4524,2704 By Matching Biggest Common Factor Method

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 4524,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,2704 is 52.

Lets's calculate LCM of 68,572

2 68, 572
2 34, 286
17, 143

∴ So the LCM of the given numbers is 2 x 2 x 17 x 143 = 9724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/9724

Therefore, the GCF of Fractions 4524/68,2704/572 is 52/9724

Least Common Multiple of 68,572 with GCF Formula

Least Common Multiple of 68,572 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 68,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,572) = 4

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

GCF(68,572) x common factors =4 x 1 = 4

LCM(68,572) = ( 68 × 572 ) / 4

LCM(68,572) = 38896 / 4

LCM(68,572) = 9724


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4524/68, 2704/572

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 4524/68, 2704/572?

Answer: GCF of Numerators as per given numbers 4524/68, 2704/572 is

GCF of Numerators i.e. for 4524,2704 is 52

LCM of denominators i.e. for 68,572 is 9724.

Thus, GCF of Fractions is 52/9724.Finally, GCF of Fractions for 4524/68, 2704/572 is 52/9724.