Greatest Common Factor of 371/674, 739/123, 856/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/674, 739/123, 856/146

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 371/674,739/123,856/146

Given fractions are 371/674,739/123,856/146

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 371,739,856

Greatest Common Factor of Numerators i.e. GCF of 371,739,856 is 1 .

LCM of Denominators means LCM of 674,123,146 as per the given fractions.

LCM of 674,123,146 is 6051846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,739,856

GCF of Fractions 371/674,739/123,856/146 is 1/6051846

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

Greatest Common Factor of 371,739,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,739,856 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 371,739,856 . The biggest common factor number is the GCF number.
So the greatest common factor 371,739,856 is 1.

Lets's calculate LCM of 674,123,146

2 674, 123, 146
337, 123, 73

∴ So the LCM of the given numbers is 2 x 337 x 123 x 73 = 6051846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6051846

Therefore, the GCF of Fractions 371/674,739/123,856/146 is 1/6051846

Least Common Multiple of 674,123,146 with GCF Formula

Least Common Multiple of 674,123,146 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 674,123,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,123,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(674,123,146) x common factors =1 x 2 = 2

LCM(674,123,146) = ( 674 × 123 × 146 ) / 2

LCM(674,123,146) = 12103692 / 2

LCM(674,123,146) = 6051846


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 371/674, 739/123, 856/146

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 371/674, 739/123, 856/146?

Answer: GCF of Numerators as per given numbers 371/674, 739/123, 856/146 is

GCF of Numerators i.e. for 371,739,856 is 1

LCM of denominators i.e. for 674,123,146 is 6051846.

Thus, GCF of Fractions is 1/6051846.Finally, GCF of Fractions for 371/674, 739/123, 856/146 is 1/6051846.