Greatest Common Factor of 77/20, 20/55, 62/71, 82/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/20, 20/55, 62/71, 82/952

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 77/20,20/55,62/71,82/952

Given fractions are 77/20,20/55,62/71,82/952

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 77,20,62,82

Greatest Common Factor of Numerators i.e. GCF of 77,20,62,82 is 1 .

LCM of Denominators means LCM of 20,55,71,952 as per the given fractions.

LCM of 20,55,71,952 is 3717560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,20,62,82

GCF of Fractions 77/20,20/55,62/71,82/952 is 1/3717560

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

Greatest Common Factor of 77,20,62,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,20,62,82 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 77,20,62,82 . The biggest common factor number is the GCF number.
So the greatest common factor 77,20,62,82 is 1.

Lets's calculate LCM of 20,55,71,952

2 20, 55, 71, 952
2 10, 55, 71, 476
5 5, 55, 71, 238
1, 11, 71, 238

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 11 x 71 x 238 = 3717560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3717560

Therefore, the GCF of Fractions 77/20,20/55,62/71,82/952 is 1/3717560

Least Common Multiple of 20,55,71,952 with GCF Formula

Least Common Multiple of 20,55,71,952 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 20,55,71,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,55,71,952) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,55,71,952) x common factors =1 x 20 = 20

LCM(20,55,71,952) = ( 20 × 55 × 71 × 952 ) / 20

LCM(20,55,71,952) = 74351200 / 20

LCM(20,55,71,952) = 3717560


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 77/20, 20/55, 62/71, 82/952

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 77/20, 20/55, 62/71, 82/952?

Answer: GCF of Numerators as per given numbers 77/20, 20/55, 62/71, 82/952 is

GCF of Numerators i.e. for 77,20,62,82 is 1

LCM of denominators i.e. for 20,55,71,952 is 3717560.

Thus, GCF of Fractions is 1/3717560.Finally, GCF of Fractions for 77/20, 20/55, 62/71, 82/952 is 1/3717560.