Greatest Common Factor of 115/674, 3874/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/674, 3874/338

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 115/674,3874/338

Given fractions are 115/674,3874/338

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 115,3874

Greatest Common Factor of Numerators i.e. GCF of 115,3874 is 1 .

LCM of Denominators means LCM of 674,338 as per the given fractions.

LCM of 674,338 is 113906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,3874

GCF of Fractions 115/674,3874/338 is 1/113906

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

Greatest Common Factor of 115,3874 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,3874 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

Greatest Common Factor

We found the factors 115,3874 . The biggest common factor number is the GCF number.
So the greatest common factor 115,3874 is 1.

Lets's calculate LCM of 674,338

2 674, 338
337, 169

∴ So the LCM of the given numbers is 2 x 337 x 169 = 113906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113906

Therefore, the GCF of Fractions 115/674,3874/338 is 1/113906

Least Common Multiple of 674,338 with GCF Formula

Least Common Multiple of 674,338 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 674,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,338) = 2

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

GCF(674,338) x common factors =2 x 1 = 2

LCM(674,338) = ( 674 × 338 ) / 2

LCM(674,338) = 227812 / 2

LCM(674,338) = 113906


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 115/674, 3874/338

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 115/674, 3874/338?

Answer: GCF of Numerators as per given numbers 115/674, 3874/338 is

GCF of Numerators i.e. for 115,3874 is 1

LCM of denominators i.e. for 674,338 is 113906.

Thus, GCF of Fractions is 1/113906.Finally, GCF of Fractions for 115/674, 3874/338 is 1/113906.