Greatest Common Factor of 83/79, 97/43, 77/90, 857/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/79, 97/43, 77/90, 857/37

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 83/79,97/43,77/90,857/37

Given fractions are 83/79,97/43,77/90,857/37

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 83,97,77,857

Greatest Common Factor of Numerators i.e. GCF of 83,97,77,857 is 1 .

LCM of Denominators means LCM of 79,43,90,37 as per the given fractions.

LCM of 79,43,90,37 is 11312010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,97,77,857

GCF of Fractions 83/79,97/43,77/90,857/37 is 1/11312010

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

Greatest Common Factor of 83,97,77,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,97,77,857 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 77

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

1,7,11,77

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 83,97,77,857 . The biggest common factor number is the GCF number.
So the greatest common factor 83,97,77,857 is 1.

Lets's calculate LCM of 79,43,90,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 11312010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11312010

Therefore, the GCF of Fractions 83/79,97/43,77/90,857/37 is 1/11312010

Least Common Multiple of 79,43,90,37 with GCF Formula

Least Common Multiple of 79,43,90,37 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 79,43,90,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,43,90,37) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,43,90,37) x common factors =1 x 1 = 1

LCM(79,43,90,37) = ( 79 × 43 × 90 × 37 ) / 1

LCM(79,43,90,37) = 11312010 / 1

LCM(79,43,90,37) = 11312010


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 83/79, 97/43, 77/90, 857/37

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 83/79, 97/43, 77/90, 857/37?

Answer: GCF of Numerators as per given numbers 83/79, 97/43, 77/90, 857/37 is

GCF of Numerators i.e. for 83,97,77,857 is 1

LCM of denominators i.e. for 79,43,90,37 is 11312010.

Thus, GCF of Fractions is 1/11312010.Finally, GCF of Fractions for 83/79, 97/43, 77/90, 857/37 is 1/11312010.