Greatest Common Factor of 6137/530, 4605/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6137/530, 4605/564

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 6137/530,4605/564

Given fractions are 6137/530,4605/564

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 6137,4605

Greatest Common Factor of Numerators i.e. GCF of 6137,4605 is 1 .

LCM of Denominators means LCM of 530,564 as per the given fractions.

LCM of 530,564 is 149460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6137,4605

GCF of Fractions 6137/530,4605/564 is 1/149460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6137,4605 By Matching Biggest Common Factor Method

Greatest Common Factor of 6137,4605 By Matching Biggest Common Factor Method

Factors of 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1,17,19,323,361,6137

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1,3,5,15,307,921,1535,4605

Greatest Common Factor

We found the factors 6137,4605 . The biggest common factor number is the GCF number.
So the greatest common factor 6137,4605 is 1.

Lets's calculate LCM of 530,564

2 530, 564
265, 282

∴ So the LCM of the given numbers is 2 x 265 x 282 = 149460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149460

Therefore, the GCF of Fractions 6137/530,4605/564 is 1/149460

Least Common Multiple of 530,564 with GCF Formula

Least Common Multiple of 530,564 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 530,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,564) = 2

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

GCF(530,564) x common factors =2 x 1 = 2

LCM(530,564) = ( 530 × 564 ) / 2

LCM(530,564) = 298920 / 2

LCM(530,564) = 149460


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 6137/530, 4605/564

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 6137/530, 4605/564?

Answer: GCF of Numerators as per given numbers 6137/530, 4605/564 is

GCF of Numerators i.e. for 6137,4605 is 1

LCM of denominators i.e. for 530,564 is 149460.

Thus, GCF of Fractions is 1/149460.Finally, GCF of Fractions for 6137/530, 4605/564 is 1/149460.