Greatest Common Factor of 8/72, 77/99, 13/434, 637/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/72, 77/99, 13/434, 637/380

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 8/72,77/99,13/434,637/380

Given fractions are 8/72,77/99,13/434,637/380

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 8,77,13,637

Greatest Common Factor of Numerators i.e. GCF of 8,77,13,637 is 1 .

LCM of Denominators means LCM of 72,99,434,380 as per the given fractions.

LCM of 72,99,434,380 is 16327080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,77,13,637

GCF of Fractions 8/72,77/99,13/434,637/380 is 1/16327080

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

Greatest Common Factor of 8,77,13,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,77,13,637 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 8,77,13,637 . The biggest common factor number is the GCF number.
So the greatest common factor 8,77,13,637 is 1.

Lets's calculate LCM of 72,99,434,380

2 72, 99, 434, 380
2 36, 99, 217, 190
3 18, 99, 217, 95
3 6, 33, 217, 95
2, 11, 217, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 11 x 217 x 95 = 16327080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16327080

Therefore, the GCF of Fractions 8/72,77/99,13/434,637/380 is 1/16327080

Least Common Multiple of 72,99,434,380 with GCF Formula

Least Common Multiple of 72,99,434,380 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 72,99,434,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,99,434,380) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(72,99,434,380) x common factors =1 x 72 = 72

LCM(72,99,434,380) = ( 72 × 99 × 434 × 380 ) / 72

LCM(72,99,434,380) = 1175549760 / 72

LCM(72,99,434,380) = 16327080


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 8/72, 77/99, 13/434, 637/380

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 8/72, 77/99, 13/434, 637/380?

Answer: GCF of Numerators as per given numbers 8/72, 77/99, 13/434, 637/380 is

GCF of Numerators i.e. for 8,77,13,637 is 1

LCM of denominators i.e. for 72,99,434,380 is 16327080.

Thus, GCF of Fractions is 1/16327080.Finally, GCF of Fractions for 8/72, 77/99, 13/434, 637/380 is 1/16327080.