Greatest Common Factor of 6843/70, 7973/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6843/70, 7973/131

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 6843/70,7973/131

Given fractions are 6843/70,7973/131

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 6843,7973

Greatest Common Factor of Numerators i.e. GCF of 6843,7973 is 1 .

LCM of Denominators means LCM of 70,131 as per the given fractions.

LCM of 70,131 is 9170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6843,7973

GCF of Fractions 6843/70,7973/131 is 1/9170

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

Greatest Common Factor of 6843,7973 By Matching Biggest Common Factor Method

Greatest Common Factor of 6843,7973 By Matching Biggest Common Factor Method

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1,3,2281,6843

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Greatest Common Factor

We found the factors 6843,7973 . The biggest common factor number is the GCF number.
So the greatest common factor 6843,7973 is 1.

Lets's calculate LCM of 70,131

Given numbers has no common factors except 1. So, there LCM is their product i.e 9170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9170

Therefore, the GCF of Fractions 6843/70,7973/131 is 1/9170

Least Common Multiple of 70,131 with GCF Formula

Least Common Multiple of 70,131 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 70,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,131) = 1

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

GCF(70,131) x common factors =1 x 1 = 1

LCM(70,131) = ( 70 × 131 ) / 1

LCM(70,131) = 9170 / 1

LCM(70,131) = 9170


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 6843/70, 7973/131

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 6843/70, 7973/131?

Answer: GCF of Numerators as per given numbers 6843/70, 7973/131 is

GCF of Numerators i.e. for 6843,7973 is 1

LCM of denominators i.e. for 70,131 is 9170.

Thus, GCF of Fractions is 1/9170.Finally, GCF of Fractions for 6843/70, 7973/131 is 1/9170.