Greatest Common Factor of 79/72, 55/14, 120/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/72, 55/14, 120/441

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 79/72,55/14,120/441

Given fractions are 79/72,55/14,120/441

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 79,55,120

Greatest Common Factor of Numerators i.e. GCF of 79,55,120 is 1 .

LCM of Denominators means LCM of 72,14,441 as per the given fractions.

LCM of 72,14,441 is 3528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,55,120

GCF of Fractions 79/72,55/14,120/441 is 1/3528

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

Greatest Common Factor of 79,55,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,55,120 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 79,55,120 . The biggest common factor number is the GCF number.
So the greatest common factor 79,55,120 is 1.

Lets's calculate LCM of 72,14,441

2 72, 14, 441
3 36, 7, 441
3 12, 7, 147
7 4, 7, 49
4, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 4 x 1 x 7 = 3528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3528

Therefore, the GCF of Fractions 79/72,55/14,120/441 is 1/3528

Least Common Multiple of 72,14,441 with GCF Formula

Least Common Multiple of 72,14,441 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 72,14,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,14,441) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(72,14,441) x common factors =1 x 126 = 126

LCM(72,14,441) = ( 72 × 14 × 441 ) / 126

LCM(72,14,441) = 444528 / 126

LCM(72,14,441) = 3528


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 79/72, 55/14, 120/441

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 79/72, 55/14, 120/441?

Answer: GCF of Numerators as per given numbers 79/72, 55/14, 120/441 is

GCF of Numerators i.e. for 79,55,120 is 1

LCM of denominators i.e. for 72,14,441 is 3528.

Thus, GCF of Fractions is 1/3528.Finally, GCF of Fractions for 79/72, 55/14, 120/441 is 1/3528.