Greatest Common Factor of 913/874, 374/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/874, 374/728

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 913/874,374/728

Given fractions are 913/874,374/728

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 913,374

Greatest Common Factor of Numerators i.e. GCF of 913,374 is 11 .

LCM of Denominators means LCM of 874,728 as per the given fractions.

LCM of 874,728 is 318136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,374

GCF of Fractions 913/874,374/728 is 11/318136

11 913, 374
83, 34

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 913,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,374 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 913,374 . The biggest common factor number is the GCF number.
So the greatest common factor 913,374 is 11.

Lets's calculate LCM of 874,728

2 874, 728
437, 364

∴ So the LCM of the given numbers is 2 x 437 x 364 = 318136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/318136

Therefore, the GCF of Fractions 913/874,374/728 is 11/318136

Least Common Multiple of 874,728 with GCF Formula

Least Common Multiple of 874,728 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 874,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,728) = 2

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

GCF(874,728) x common factors =2 x 1 = 2

LCM(874,728) = ( 874 × 728 ) / 2

LCM(874,728) = 636272 / 2

LCM(874,728) = 318136


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 913/874, 374/728

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 913/874, 374/728?

Answer: GCF of Numerators as per given numbers 913/874, 374/728 is

GCF of Numerators i.e. for 913,374 is 11

LCM of denominators i.e. for 874,728 is 318136.

Thus, GCF of Fractions is 11/318136.Finally, GCF of Fractions for 913/874, 374/728 is 11/318136.