Greatest Common Factor of 7242/520, 6494/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7242/520, 6494/268

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 7242/520,6494/268

Given fractions are 7242/520,6494/268

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 7242,6494

Greatest Common Factor of Numerators i.e. GCF of 7242,6494 is 34 .

LCM of Denominators means LCM of 520,268 as per the given fractions.

LCM of 520,268 is 34840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7242,6494

GCF of Fractions 7242/520,6494/268 is 34/34840

2 7242, 6494
17 3621, 3247
213, 191

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 7242,6494 By Matching Biggest Common Factor Method

Greatest Common Factor of 7242,6494 By Matching Biggest Common Factor Method

Factors of 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242

Factors of 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1,2,17,34,191,382,3247,6494

Greatest Common Factor

We found the factors 7242,6494 . The biggest common factor number is the GCF number.
So the greatest common factor 7242,6494 is 34.

Lets's calculate LCM of 520,268

2 520, 268
2 260, 134
130, 67

∴ So the LCM of the given numbers is 2 x 2 x 130 x 67 = 34840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/34840

Therefore, the GCF of Fractions 7242/520,6494/268 is 34/34840

Least Common Multiple of 520,268 with GCF Formula

Least Common Multiple of 520,268 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 520,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,268) = 4

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

GCF(520,268) x common factors =4 x 1 = 4

LCM(520,268) = ( 520 × 268 ) / 4

LCM(520,268) = 139360 / 4

LCM(520,268) = 34840


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 7242/520, 6494/268

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 7242/520, 6494/268?

Answer: GCF of Numerators as per given numbers 7242/520, 6494/268 is

GCF of Numerators i.e. for 7242,6494 is 34

LCM of denominators i.e. for 520,268 is 34840.

Thus, GCF of Fractions is 34/34840.Finally, GCF of Fractions for 7242/520, 6494/268 is 34/34840.