Greatest Common Factor of 460/561, 5660/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/561, 5660/253

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 460/561,5660/253

Given fractions are 460/561,5660/253

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 460,5660

Greatest Common Factor of Numerators i.e. GCF of 460,5660 is 20 .

LCM of Denominators means LCM of 561,253 as per the given fractions.

LCM of 561,253 is 12903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,5660

GCF of Fractions 460/561,5660/253 is 20/12903

2 460, 5660
2 230, 2830
5 115, 1415
23, 283

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 460,5660 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,5660 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Greatest Common Factor

We found the factors 460,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 460,5660 is 20.

Lets's calculate LCM of 561,253

11 561, 253
51, 23

∴ So the LCM of the given numbers is 11 x 51 x 23 = 12903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/12903

Therefore, the GCF of Fractions 460/561,5660/253 is 20/12903

Least Common Multiple of 561,253 with GCF Formula

Least Common Multiple of 561,253 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 561,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,253) = 11

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

GCF(561,253) x common factors =11 x 1 = 11

LCM(561,253) = ( 561 × 253 ) / 11

LCM(561,253) = 141933 / 11

LCM(561,253) = 12903


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 460/561, 5660/253

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 460/561, 5660/253?

Answer: GCF of Numerators as per given numbers 460/561, 5660/253 is

GCF of Numerators i.e. for 460,5660 is 20

LCM of denominators i.e. for 561,253 is 12903.

Thus, GCF of Fractions is 20/12903.Finally, GCF of Fractions for 460/561, 5660/253 is 20/12903.