Greatest Common Factor of 260/126, 520/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/126, 520/442

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 260/126,520/442

Given fractions are 260/126,520/442

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 260,520

Greatest Common Factor of Numerators i.e. GCF of 260,520 is 260 .

LCM of Denominators means LCM of 126,442 as per the given fractions.

LCM of 126,442 is 27846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,520

GCF of Fractions 260/126,520/442 is 260/27846

2 260, 520
2 130, 260
5 65, 130
13 13, 26
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 5 x 13 = 260

Greatest Common Factor of 260,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,520 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 260,520 . The biggest common factor number is the GCF number.
So the greatest common factor 260,520 is 260.

Lets's calculate LCM of 126,442

2 126, 442
63, 221

∴ So the LCM of the given numbers is 2 x 63 x 221 = 27846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 260/27846

Therefore, the GCF of Fractions 260/126,520/442 is 260/27846

Least Common Multiple of 126,442 with GCF Formula

Least Common Multiple of 126,442 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 126,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,442) = 2

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

GCF(126,442) x common factors =2 x 1 = 2

LCM(126,442) = ( 126 × 442 ) / 2

LCM(126,442) = 55692 / 2

LCM(126,442) = 27846


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 260/126, 520/442

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 260/126, 520/442?

Answer: GCF of Numerators as per given numbers 260/126, 520/442 is

GCF of Numerators i.e. for 260,520 is 260

LCM of denominators i.e. for 126,442 is 27846.

Thus, GCF of Fractions is 260/27846.Finally, GCF of Fractions for 260/126, 520/442 is 260/27846.