Greatest Common Factor of 978/8759, 147/8879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/8759, 147/8879

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 978/8759,147/8879

Given fractions are 978/8759,147/8879

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 978,147

Greatest Common Factor of Numerators i.e. GCF of 978,147 is 3 .

LCM of Denominators means LCM of 8759,8879 as per the given fractions.

LCM of 8759,8879 is 77771161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,147

GCF of Fractions 978/8759,147/8879 is 3/77771161

3 978, 147
326, 49

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 978,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,147 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 978,147 . The biggest common factor number is the GCF number.
So the greatest common factor 978,147 is 3.

Lets's calculate LCM of 8759,8879

Given numbers has no common factors except 1. So, there LCM is their product i.e 77771161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77771161

Therefore, the GCF of Fractions 978/8759,147/8879 is 3/77771161

Least Common Multiple of 8759,8879 with GCF Formula

Least Common Multiple of 8759,8879 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 8759,8879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8759,8879) = 1

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

GCF(8759,8879) x common factors =1 x 1 = 1

LCM(8759,8879) = ( 8759 × 8879 ) / 1

LCM(8759,8879) = 77771161 / 1

LCM(8759,8879) = 77771161


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 978/8759, 147/8879

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 978/8759, 147/8879?

Answer: GCF of Numerators as per given numbers 978/8759, 147/8879 is

GCF of Numerators i.e. for 978,147 is 3

LCM of denominators i.e. for 8759,8879 is 77771161.

Thus, GCF of Fractions is 3/77771161.Finally, GCF of Fractions for 978/8759, 147/8879 is 3/77771161.