Greatest Common Factor of 978/3679, 615/8218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/3679, 615/8218

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 978/3679,615/8218

Given fractions are 978/3679,615/8218

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 978,615

Greatest Common Factor of Numerators i.e. GCF of 978,615 is 3 .

LCM of Denominators means LCM of 3679,8218 as per the given fractions.

LCM of 3679,8218 is 30234022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,615

GCF of Fractions 978/3679,615/8218 is 3/30234022

3 978, 615
326, 205

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

Greatest Common Factor of 978,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,615 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 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 978,615 . The biggest common factor number is the GCF number.
So the greatest common factor 978,615 is 3.

Lets's calculate LCM of 3679,8218

Given numbers has no common factors except 1. So, there LCM is their product i.e 30234022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30234022

Therefore, the GCF of Fractions 978/3679,615/8218 is 3/30234022

Least Common Multiple of 3679,8218 with GCF Formula

Least Common Multiple of 3679,8218 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 3679,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3679,8218) = 1

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

GCF(3679,8218) x common factors =1 x 1 = 1

LCM(3679,8218) = ( 3679 × 8218 ) / 1

LCM(3679,8218) = 30234022 / 1

LCM(3679,8218) = 30234022


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 978/3679, 615/8218

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 978/3679, 615/8218?

Answer: GCF of Numerators as per given numbers 978/3679, 615/8218 is

GCF of Numerators i.e. for 978,615 is 3

LCM of denominators i.e. for 3679,8218 is 30234022.

Thus, GCF of Fractions is 3/30234022.Finally, GCF of Fractions for 978/3679, 615/8218 is 3/30234022.