Greatest Common Factor of 52/91, 650/11, 276/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/91, 650/11, 276/143

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 52/91,650/11,276/143

Given fractions are 52/91,650/11,276/143

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 52,650,276

Greatest Common Factor of Numerators i.e. GCF of 52,650,276 is 2 .

LCM of Denominators means LCM of 91,11,143 as per the given fractions.

LCM of 91,11,143 is 1001 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,650,276

GCF of Fractions 52/91,650/11,276/143 is 2/1001

2 52, 650, 276
26, 325, 138

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

Greatest Common Factor of 52,650,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,650,276 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 52,650,276 . The biggest common factor number is the GCF number.
So the greatest common factor 52,650,276 is 2.

Lets's calculate LCM of 91,11,143

11 91, 11, 143
13 91, 1, 13
7, 1, 1

∴ So the LCM of the given numbers is 11 x 13 x 7 x 1 x 1 = 1001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1001

Therefore, the GCF of Fractions 52/91,650/11,276/143 is 2/1001

Least Common Multiple of 91,11,143 with GCF Formula

Least Common Multiple of 91,11,143 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 91,11,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,11,143) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(91,11,143) x common factors =1 x 143 = 143

LCM(91,11,143) = ( 91 × 11 × 143 ) / 143

LCM(91,11,143) = 143143 / 143

LCM(91,11,143) = 1001


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 52/91, 650/11, 276/143

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 52/91, 650/11, 276/143?

Answer: GCF of Numerators as per given numbers 52/91, 650/11, 276/143 is

GCF of Numerators i.e. for 52,650,276 is 2

LCM of denominators i.e. for 91,11,143 is 1001.

Thus, GCF of Fractions is 2/1001.Finally, GCF of Fractions for 52/91, 650/11, 276/143 is 2/1001.