Greatest Common Factor of 6167/31, 7732/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6167/31, 7732/561

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 6167/31,7732/561

Given fractions are 6167/31,7732/561

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 6167,7732

Greatest Common Factor of Numerators i.e. GCF of 6167,7732 is 1 .

LCM of Denominators means LCM of 31,561 as per the given fractions.

LCM of 31,561 is 17391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6167,7732

GCF of Fractions 6167/31,7732/561 is 1/17391

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

Greatest Common Factor of 6167,7732 By Matching Biggest Common Factor Method

Greatest Common Factor of 6167,7732 By Matching Biggest Common Factor Method

Factors of 6167

List of positive integer factors of 6167 that divides 6167 without a remainder.

1,7,881,6167

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1,2,4,1933,3866,7732

Greatest Common Factor

We found the factors 6167,7732 . The biggest common factor number is the GCF number.
So the greatest common factor 6167,7732 is 1.

Lets's calculate LCM of 31,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 17391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17391

Therefore, the GCF of Fractions 6167/31,7732/561 is 1/17391

Least Common Multiple of 31,561 with GCF Formula

Least Common Multiple of 31,561 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 31,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,561) = 1

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

GCF(31,561) x common factors =1 x 1 = 1

LCM(31,561) = ( 31 × 561 ) / 1

LCM(31,561) = 17391 / 1

LCM(31,561) = 17391


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 6167/31, 7732/561

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 6167/31, 7732/561?

Answer: GCF of Numerators as per given numbers 6167/31, 7732/561 is

GCF of Numerators i.e. for 6167,7732 is 1

LCM of denominators i.e. for 31,561 is 17391.

Thus, GCF of Fractions is 1/17391.Finally, GCF of Fractions for 6167/31, 7732/561 is 1/17391.