Greatest Common Factor of 546/32, 231/7132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/32, 231/7132

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 546/32,231/7132

Given fractions are 546/32,231/7132

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 546,231

Greatest Common Factor of Numerators i.e. GCF of 546,231 is 21 .

LCM of Denominators means LCM of 32,7132 as per the given fractions.

LCM of 32,7132 is 57056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,231

GCF of Fractions 546/32,231/7132 is 21/57056

3 546, 231
7 182, 77
26, 11

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 546,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,231 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 546,231 . The biggest common factor number is the GCF number.
So the greatest common factor 546,231 is 21.

Lets's calculate LCM of 32,7132

2 32, 7132
2 16, 3566
8, 1783

∴ So the LCM of the given numbers is 2 x 2 x 8 x 1783 = 57056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/57056

Therefore, the GCF of Fractions 546/32,231/7132 is 21/57056

Least Common Multiple of 32,7132 with GCF Formula

Least Common Multiple of 32,7132 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 32,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,7132) = 4

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

GCF(32,7132) x common factors =4 x 1 = 4

LCM(32,7132) = ( 32 × 7132 ) / 4

LCM(32,7132) = 228224 / 4

LCM(32,7132) = 57056


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 546/32, 231/7132

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 546/32, 231/7132?

Answer: GCF of Numerators as per given numbers 546/32, 231/7132 is

GCF of Numerators i.e. for 546,231 is 21

LCM of denominators i.e. for 32,7132 is 57056.

Thus, GCF of Fractions is 21/57056.Finally, GCF of Fractions for 546/32, 231/7132 is 21/57056.