Greatest Common Factor of 681/275, 6167/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/275, 6167/500

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 681/275,6167/500

Given fractions are 681/275,6167/500

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 681,6167

Greatest Common Factor of Numerators i.e. GCF of 681,6167 is 1 .

LCM of Denominators means LCM of 275,500 as per the given fractions.

LCM of 275,500 is 5500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,6167

GCF of Fractions 681/275,6167/500 is 1/5500

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

Greatest Common Factor of 681,6167 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,6167 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 6167

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

1,7,881,6167

Greatest Common Factor

We found the factors 681,6167 . The biggest common factor number is the GCF number.
So the greatest common factor 681,6167 is 1.

Lets's calculate LCM of 275,500

5 275, 500
5 55, 100
11, 20

∴ So the LCM of the given numbers is 5 x 5 x 11 x 20 = 5500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5500

Therefore, the GCF of Fractions 681/275,6167/500 is 1/5500

Least Common Multiple of 275,500 with GCF Formula

Least Common Multiple of 275,500 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 275,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,500) = 25

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

GCF(275,500) x common factors =25 x 1 = 25

LCM(275,500) = ( 275 × 500 ) / 25

LCM(275,500) = 137500 / 25

LCM(275,500) = 5500


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 681/275, 6167/500

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 681/275, 6167/500?

Answer: GCF of Numerators as per given numbers 681/275, 6167/500 is

GCF of Numerators i.e. for 681,6167 is 1

LCM of denominators i.e. for 275,500 is 5500.

Thus, GCF of Fractions is 1/5500.Finally, GCF of Fractions for 681/275, 6167/500 is 1/5500.