Greatest Common Factor of 376/762, 9856/5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/762, 9856/5511

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 376/762,9856/5511

Given fractions are 376/762,9856/5511

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 376,9856

Greatest Common Factor of Numerators i.e. GCF of 376,9856 is 8 .

LCM of Denominators means LCM of 762,5511 as per the given fractions.

LCM of 762,5511 is 1399794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,9856

GCF of Fractions 376/762,9856/5511 is 8/1399794

2 376, 9856
2 188, 4928
2 94, 2464
47, 1232

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

Greatest Common Factor of 376,9856 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,9856 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 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856

Greatest Common Factor

We found the factors 376,9856 . The biggest common factor number is the GCF number.
So the greatest common factor 376,9856 is 8.

Lets's calculate LCM of 762,5511

3 762, 5511
254, 1837

∴ So the LCM of the given numbers is 3 x 254 x 1837 = 1399794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1399794

Therefore, the GCF of Fractions 376/762,9856/5511 is 8/1399794

Least Common Multiple of 762,5511 with GCF Formula

Least Common Multiple of 762,5511 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 762,5511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,5511) = 3

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

GCF(762,5511) x common factors =3 x 1 = 3

LCM(762,5511) = ( 762 × 5511 ) / 3

LCM(762,5511) = 4199382 / 3

LCM(762,5511) = 1399794


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 376/762, 9856/5511

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 376/762, 9856/5511?

Answer: GCF of Numerators as per given numbers 376/762, 9856/5511 is

GCF of Numerators i.e. for 376,9856 is 8

LCM of denominators i.e. for 762,5511 is 1399794.

Thus, GCF of Fractions is 8/1399794.Finally, GCF of Fractions for 376/762, 9856/5511 is 8/1399794.