Greatest Common Factor of 8776/645, 4762/8760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8776/645, 4762/8760

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 8776/645,4762/8760

Given fractions are 8776/645,4762/8760

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 8776,4762

Greatest Common Factor of Numerators i.e. GCF of 8776,4762 is 2 .

LCM of Denominators means LCM of 645,8760 as per the given fractions.

LCM of 645,8760 is 376680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8776,4762

GCF of Fractions 8776/645,4762/8760 is 2/376680

2 8776, 4762
4388, 2381

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

Greatest Common Factor of 8776,4762 By Matching Biggest Common Factor Method

Greatest Common Factor of 8776,4762 By Matching Biggest Common Factor Method

Factors of 8776

List of positive integer factors of 8776 that divides 8776 without a remainder.

1,2,4,8,1097,2194,4388,8776

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1,2,2381,4762

Greatest Common Factor

We found the factors 8776,4762 . The biggest common factor number is the GCF number.
So the greatest common factor 8776,4762 is 2.

Lets's calculate LCM of 645,8760

3 645, 8760
5 215, 2920
43, 584

∴ So the LCM of the given numbers is 3 x 5 x 43 x 584 = 376680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376680

Therefore, the GCF of Fractions 8776/645,4762/8760 is 2/376680

Least Common Multiple of 645,8760 with GCF Formula

Least Common Multiple of 645,8760 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 645,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,8760) = 15

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

GCF(645,8760) x common factors =15 x 1 = 15

LCM(645,8760) = ( 645 × 8760 ) / 15

LCM(645,8760) = 5650200 / 15

LCM(645,8760) = 376680


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 8776/645, 4762/8760

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 8776/645, 4762/8760?

Answer: GCF of Numerators as per given numbers 8776/645, 4762/8760 is

GCF of Numerators i.e. for 8776,4762 is 2

LCM of denominators i.e. for 645,8760 is 376680.

Thus, GCF of Fractions is 2/376680.Finally, GCF of Fractions for 8776/645, 4762/8760 is 2/376680.