Greatest Common Factor of 5294/460, 8740/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5294/460, 8740/324

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 5294/460,8740/324

Given fractions are 5294/460,8740/324

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 5294,8740

Greatest Common Factor of Numerators i.e. GCF of 5294,8740 is 2 .

LCM of Denominators means LCM of 460,324 as per the given fractions.

LCM of 460,324 is 37260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5294,8740

GCF of Fractions 5294/460,8740/324 is 2/37260

2 5294, 8740
2647, 4370

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

Greatest Common Factor of 5294,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 5294,8740 By Matching Biggest Common Factor Method

Factors of 5294

List of positive integer factors of 5294 that divides 5294 without a remainder.

1,2,2647,5294

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 5294,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 5294,8740 is 2.

Lets's calculate LCM of 460,324

2 460, 324
2 230, 162
115, 81

∴ So the LCM of the given numbers is 2 x 2 x 115 x 81 = 37260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37260

Therefore, the GCF of Fractions 5294/460,8740/324 is 2/37260

Least Common Multiple of 460,324 with GCF Formula

Least Common Multiple of 460,324 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 460,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,324) = 4

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

GCF(460,324) x common factors =4 x 1 = 4

LCM(460,324) = ( 460 × 324 ) / 4

LCM(460,324) = 149040 / 4

LCM(460,324) = 37260


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 5294/460, 8740/324

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 5294/460, 8740/324?

Answer: GCF of Numerators as per given numbers 5294/460, 8740/324 is

GCF of Numerators i.e. for 5294,8740 is 2

LCM of denominators i.e. for 460,324 is 37260.

Thus, GCF of Fractions is 2/37260.Finally, GCF of Fractions for 5294/460, 8740/324 is 2/37260.