Greatest Common Factor of 5/80, 75/17, 91/378, 823/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/80, 75/17, 91/378, 823/186

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 5/80,75/17,91/378,823/186

Given fractions are 5/80,75/17,91/378,823/186

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 5,75,91,823

Greatest Common Factor of Numerators i.e. GCF of 5,75,91,823 is 1 .

LCM of Denominators means LCM of 80,17,378,186 as per the given fractions.

LCM of 80,17,378,186 is 7968240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,75,91,823

GCF of Fractions 5/80,75/17,91/378,823/186 is 1/7968240

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

Greatest Common Factor of 5,75,91,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,75,91,823 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 75

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

1,3,5,15,25,75

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 5,75,91,823 . The biggest common factor number is the GCF number.
So the greatest common factor 5,75,91,823 is 1.

Lets's calculate LCM of 80,17,378,186

2 80, 17, 378, 186
3 40, 17, 189, 93
40, 17, 63, 31

∴ So the LCM of the given numbers is 2 x 3 x 40 x 17 x 63 x 31 = 7968240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7968240

Therefore, the GCF of Fractions 5/80,75/17,91/378,823/186 is 1/7968240

Least Common Multiple of 80,17,378,186 with GCF Formula

Least Common Multiple of 80,17,378,186 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 80,17,378,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,17,378,186) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(80,17,378,186) x common factors =1 x 12 = 12

LCM(80,17,378,186) = ( 80 × 17 × 378 × 186 ) / 12

LCM(80,17,378,186) = 95618880 / 12

LCM(80,17,378,186) = 7968240


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 5/80, 75/17, 91/378, 823/186

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 5/80, 75/17, 91/378, 823/186?

Answer: GCF of Numerators as per given numbers 5/80, 75/17, 91/378, 823/186 is

GCF of Numerators i.e. for 5,75,91,823 is 1

LCM of denominators i.e. for 80,17,378,186 is 7968240.

Thus, GCF of Fractions is 1/7968240.Finally, GCF of Fractions for 5/80, 75/17, 91/378, 823/186 is 1/7968240.