Greatest Common Factor of 72/49, 54/117, 546/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/49, 54/117, 546/344

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 72/49,54/117,546/344

Given fractions are 72/49,54/117,546/344

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 72,54,546

Greatest Common Factor of Numerators i.e. GCF of 72,54,546 is 6 .

LCM of Denominators means LCM of 49,117,344 as per the given fractions.

LCM of 49,117,344 is 1972152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,54,546

GCF of Fractions 72/49,54/117,546/344 is 6/1972152

2 72, 54, 546
3 36, 27, 273
12, 9, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 72,54,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,54,546 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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

Greatest Common Factor

We found the factors 72,54,546 . The biggest common factor number is the GCF number.
So the greatest common factor 72,54,546 is 6.

Lets's calculate LCM of 49,117,344

Given numbers has no common factors except 1. So, there LCM is their product i.e 1972152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1972152

Therefore, the GCF of Fractions 72/49,54/117,546/344 is 6/1972152

Least Common Multiple of 49,117,344 with GCF Formula

Least Common Multiple of 49,117,344 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 49,117,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,117,344) = 1

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

GCF(49,117,344) x common factors =1 x 1 = 1

LCM(49,117,344) = ( 49 × 117 × 344 ) / 1

LCM(49,117,344) = 1972152 / 1

LCM(49,117,344) = 1972152


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 72/49, 54/117, 546/344

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 72/49, 54/117, 546/344?

Answer: GCF of Numerators as per given numbers 72/49, 54/117, 546/344 is

GCF of Numerators i.e. for 72,54,546 is 6

LCM of denominators i.e. for 49,117,344 is 1972152.

Thus, GCF of Fractions is 6/1972152.Finally, GCF of Fractions for 72/49, 54/117, 546/344 is 6/1972152.