Greatest Common Factor of 20/56, 26/14, 99/68, 40/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/56, 26/14, 99/68, 40/119

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 20/56,26/14,99/68,40/119

Given fractions are 20/56,26/14,99/68,40/119

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 20,26,99,40

Greatest Common Factor of Numerators i.e. GCF of 20,26,99,40 is 1 .

LCM of Denominators means LCM of 56,14,68,119 as per the given fractions.

LCM of 56,14,68,119 is 952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,26,99,40

GCF of Fractions 20/56,26/14,99/68,40/119 is 1/952

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

Greatest Common Factor of 20,26,99,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,26,99,40 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 20,26,99,40 . The biggest common factor number is the GCF number.
So the greatest common factor 20,26,99,40 is 1.

Lets's calculate LCM of 56,14,68,119

2 56, 14, 68, 119
2 28, 7, 34, 119
7 14, 7, 17, 119
17 2, 1, 17, 17
2, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 2 x 1 x 1 x 1 = 952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/952

Therefore, the GCF of Fractions 20/56,26/14,99/68,40/119 is 1/952

Least Common Multiple of 56,14,68,119 with GCF Formula

Least Common Multiple of 56,14,68,119 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 56,14,68,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,14,68,119) = 1

common factors(in case of two or more numbers have common factors) = 6664

GCF(56,14,68,119) x common factors =1 x 6664 = 6664

LCM(56,14,68,119) = ( 56 × 14 × 68 × 119 ) / 6664

LCM(56,14,68,119) = 6344128 / 6664

LCM(56,14,68,119) = 952


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 20/56, 26/14, 99/68, 40/119

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 20/56, 26/14, 99/68, 40/119?

Answer: GCF of Numerators as per given numbers 20/56, 26/14, 99/68, 40/119 is

GCF of Numerators i.e. for 20,26,99,40 is 1

LCM of denominators i.e. for 56,14,68,119 is 952.

Thus, GCF of Fractions is 1/952.Finally, GCF of Fractions for 20/56, 26/14, 99/68, 40/119 is 1/952.