Greatest Common Factor of 95/75, 75/80, 10/55, 917/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/75, 75/80, 10/55, 917/20

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 95/75,75/80,10/55,917/20

Given fractions are 95/75,75/80,10/55,917/20

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 95,75,10,917

Greatest Common Factor of Numerators i.e. GCF of 95,75,10,917 is 1 .

LCM of Denominators means LCM of 75,80,55,20 as per the given fractions.

LCM of 75,80,55,20 is 13200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,75,10,917

GCF of Fractions 95/75,75/80,10/55,917/20 is 1/13200

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

Greatest Common Factor of 95,75,10,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,75,10,917 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 95,75,10,917 . The biggest common factor number is the GCF number.
So the greatest common factor 95,75,10,917 is 1.

Lets's calculate LCM of 75,80,55,20

2 75, 80, 55, 20
2 75, 40, 55, 10
5 75, 20, 55, 5
15, 4, 11, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 15 x 4 x 11 x 1 = 13200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13200

Therefore, the GCF of Fractions 95/75,75/80,10/55,917/20 is 1/13200

Least Common Multiple of 75,80,55,20 with GCF Formula

Least Common Multiple of 75,80,55,20 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 75,80,55,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,80,55,20) = 5

common factors(in case of two or more numbers have common factors) = 100

GCF(75,80,55,20) x common factors =5 x 100 = 500

LCM(75,80,55,20) = ( 75 × 80 × 55 × 20 ) / 500

LCM(75,80,55,20) = 6600000 / 500

LCM(75,80,55,20) = 13200


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 95/75, 75/80, 10/55, 917/20

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 95/75, 75/80, 10/55, 917/20?

Answer: GCF of Numerators as per given numbers 95/75, 75/80, 10/55, 917/20 is

GCF of Numerators i.e. for 95,75,10,917 is 1

LCM of denominators i.e. for 75,80,55,20 is 13200.

Thus, GCF of Fractions is 1/13200.Finally, GCF of Fractions for 95/75, 75/80, 10/55, 917/20 is 1/13200.