Greatest Common Factor of 564/424, 5342/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/424, 5342/708

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 564/424,5342/708

Given fractions are 564/424,5342/708

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 564,5342

Greatest Common Factor of Numerators i.e. GCF of 564,5342 is 2 .

LCM of Denominators means LCM of 424,708 as per the given fractions.

LCM of 424,708 is 75048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,5342

GCF of Fractions 564/424,5342/708 is 2/75048

2 564, 5342
282, 2671

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

Greatest Common Factor of 564,5342 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,5342 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Greatest Common Factor

We found the factors 564,5342 . The biggest common factor number is the GCF number.
So the greatest common factor 564,5342 is 2.

Lets's calculate LCM of 424,708

2 424, 708
2 212, 354
106, 177

∴ So the LCM of the given numbers is 2 x 2 x 106 x 177 = 75048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75048

Therefore, the GCF of Fractions 564/424,5342/708 is 2/75048

Least Common Multiple of 424,708 with GCF Formula

Least Common Multiple of 424,708 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 424,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,708) = 4

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

GCF(424,708) x common factors =4 x 1 = 4

LCM(424,708) = ( 424 × 708 ) / 4

LCM(424,708) = 300192 / 4

LCM(424,708) = 75048


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 564/424, 5342/708

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 564/424, 5342/708?

Answer: GCF of Numerators as per given numbers 564/424, 5342/708 is

GCF of Numerators i.e. for 564,5342 is 2

LCM of denominators i.e. for 424,708 is 75048.

Thus, GCF of Fractions is 2/75048.Finally, GCF of Fractions for 564/424, 5342/708 is 2/75048.