Greatest Common Factor of 376/382, 408/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/382, 408/756

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 376/382,408/756

Given fractions are 376/382,408/756

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 376,408

Greatest Common Factor of Numerators i.e. GCF of 376,408 is 8 .

LCM of Denominators means LCM of 382,756 as per the given fractions.

LCM of 382,756 is 144396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,408

GCF of Fractions 376/382,408/756 is 8/144396

2 376, 408
2 188, 204
2 94, 102
47, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 376,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,408 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 376,408 . The biggest common factor number is the GCF number.
So the greatest common factor 376,408 is 8.

Lets's calculate LCM of 382,756

2 382, 756
191, 378

∴ So the LCM of the given numbers is 2 x 191 x 378 = 144396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/144396

Therefore, the GCF of Fractions 376/382,408/756 is 8/144396

Least Common Multiple of 382,756 with GCF Formula

Least Common Multiple of 382,756 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 382,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,756) = 2

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

GCF(382,756) x common factors =2 x 1 = 2

LCM(382,756) = ( 382 × 756 ) / 2

LCM(382,756) = 288792 / 2

LCM(382,756) = 144396


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 376/382, 408/756

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 376/382, 408/756?

Answer: GCF of Numerators as per given numbers 376/382, 408/756 is

GCF of Numerators i.e. for 376,408 is 8

LCM of denominators i.e. for 382,756 is 144396.

Thus, GCF of Fractions is 8/144396.Finally, GCF of Fractions for 376/382, 408/756 is 8/144396.