Greatest Common Factor of 78/64, 64/28, 977/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/64, 64/28, 977/627

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 78/64,64/28,977/627

Given fractions are 78/64,64/28,977/627

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 78,64,977

Greatest Common Factor of Numerators i.e. GCF of 78,64,977 is 1 .

LCM of Denominators means LCM of 64,28,627 as per the given fractions.

LCM of 64,28,627 is 280896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,64,977

GCF of Fractions 78/64,64/28,977/627 is 1/280896

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 78,64,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,64,977 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 78,64,977 . The biggest common factor number is the GCF number.
So the greatest common factor 78,64,977 is 1.

Lets's calculate LCM of 64,28,627

2 64, 28, 627
2 32, 14, 627
16, 7, 627

∴ So the LCM of the given numbers is 2 x 2 x 16 x 7 x 627 = 280896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280896

Therefore, the GCF of Fractions 78/64,64/28,977/627 is 1/280896

Least Common Multiple of 64,28,627 with GCF Formula

Least Common Multiple of 64,28,627 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 64,28,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,28,627) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,28,627) x common factors =1 x 4 = 4

LCM(64,28,627) = ( 64 × 28 × 627 ) / 4

LCM(64,28,627) = 1123584 / 4

LCM(64,28,627) = 280896


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 78/64, 64/28, 977/627

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 78/64, 64/28, 977/627?

Answer: GCF of Numerators as per given numbers 78/64, 64/28, 977/627 is

GCF of Numerators i.e. for 78,64,977 is 1

LCM of denominators i.e. for 64,28,627 is 280896.

Thus, GCF of Fractions is 1/280896.Finally, GCF of Fractions for 78/64, 64/28, 977/627 is 1/280896.