Greatest Common Factor of 6957/345, 2171/8347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6957/345, 2171/8347

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 6957/345,2171/8347

Given fractions are 6957/345,2171/8347

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 6957,2171

Greatest Common Factor of Numerators i.e. GCF of 6957,2171 is 1 .

LCM of Denominators means LCM of 345,8347 as per the given fractions.

LCM of 345,8347 is 2879715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6957,2171

GCF of Fractions 6957/345,2171/8347 is 1/2879715

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

Greatest Common Factor of 6957,2171 By Matching Biggest Common Factor Method

Greatest Common Factor of 6957,2171 By Matching Biggest Common Factor Method

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1,3,9,773,2319,6957

Factors of 2171

List of positive integer factors of 2171 that divides 2171 without a remainder.

1,13,167,2171

Greatest Common Factor

We found the factors 6957,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 6957,2171 is 1.

Lets's calculate LCM of 345,8347

Given numbers has no common factors except 1. So, there LCM is their product i.e 2879715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2879715

Therefore, the GCF of Fractions 6957/345,2171/8347 is 1/2879715

Least Common Multiple of 345,8347 with GCF Formula

Least Common Multiple of 345,8347 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 345,8347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,8347) = 1

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

GCF(345,8347) x common factors =1 x 1 = 1

LCM(345,8347) = ( 345 × 8347 ) / 1

LCM(345,8347) = 2879715 / 1

LCM(345,8347) = 2879715


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 6957/345, 2171/8347

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 6957/345, 2171/8347?

Answer: GCF of Numerators as per given numbers 6957/345, 2171/8347 is

GCF of Numerators i.e. for 6957,2171 is 1

LCM of denominators i.e. for 345,8347 is 2879715.

Thus, GCF of Fractions is 1/2879715.Finally, GCF of Fractions for 6957/345, 2171/8347 is 1/2879715.