Greatest Common Factor of 137/67, 254/12, 312/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 137/67, 254/12, 312/687

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 137/67,254/12,312/687

Given fractions are 137/67,254/12,312/687

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 137,254,312

Greatest Common Factor of Numerators i.e. GCF of 137,254,312 is 1 .

LCM of Denominators means LCM of 67,12,687 as per the given fractions.

LCM of 67,12,687 is 184116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 137,254,312

GCF of Fractions 137/67,254/12,312/687 is 1/184116

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

Greatest Common Factor of 137,254,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,254,312 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 137,254,312 . The biggest common factor number is the GCF number.
So the greatest common factor 137,254,312 is 1.

Lets's calculate LCM of 67,12,687

3 67, 12, 687
67, 4, 229

∴ So the LCM of the given numbers is 3 x 67 x 4 x 229 = 184116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184116

Therefore, the GCF of Fractions 137/67,254/12,312/687 is 1/184116

Least Common Multiple of 67,12,687 with GCF Formula

Least Common Multiple of 67,12,687 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 67,12,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,12,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,12,687) x common factors =1 x 3 = 3

LCM(67,12,687) = ( 67 × 12 × 687 ) / 3

LCM(67,12,687) = 552348 / 3

LCM(67,12,687) = 184116


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 137/67, 254/12, 312/687

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 137/67, 254/12, 312/687?

Answer: GCF of Numerators as per given numbers 137/67, 254/12, 312/687 is

GCF of Numerators i.e. for 137,254,312 is 1

LCM of denominators i.e. for 67,12,687 is 184116.

Thus, GCF of Fractions is 1/184116.Finally, GCF of Fractions for 137/67, 254/12, 312/687 is 1/184116.