Greatest Common Factor of 546/279, 7625/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/279, 7625/165

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 546/279,7625/165

Given fractions are 546/279,7625/165

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 546,7625

Greatest Common Factor of Numerators i.e. GCF of 546,7625 is 1 .

LCM of Denominators means LCM of 279,165 as per the given fractions.

LCM of 279,165 is 15345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,7625

GCF of Fractions 546/279,7625/165 is 1/15345

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 546,7625 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,7625 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 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1,5,25,61,125,305,1525,7625

Greatest Common Factor

We found the factors 546,7625 . The biggest common factor number is the GCF number.
So the greatest common factor 546,7625 is 1.

Lets's calculate LCM of 279,165

3 279, 165
93, 55

∴ So the LCM of the given numbers is 3 x 93 x 55 = 15345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15345

Therefore, the GCF of Fractions 546/279,7625/165 is 1/15345

Least Common Multiple of 279,165 with GCF Formula

Least Common Multiple of 279,165 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 279,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,165) = 3

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

GCF(279,165) x common factors =3 x 1 = 3

LCM(279,165) = ( 279 × 165 ) / 3

LCM(279,165) = 46035 / 3

LCM(279,165) = 15345


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 546/279, 7625/165

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 546/279, 7625/165?

Answer: GCF of Numerators as per given numbers 546/279, 7625/165 is

GCF of Numerators i.e. for 546,7625 is 1

LCM of denominators i.e. for 279,165 is 15345.

Thus, GCF of Fractions is 1/15345.Finally, GCF of Fractions for 546/279, 7625/165 is 1/15345.