Greatest Common Factor of 1978/764, 9637/5161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1978/764, 9637/5161

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 1978/764,9637/5161

Given fractions are 1978/764,9637/5161

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 1978,9637

Greatest Common Factor of Numerators i.e. GCF of 1978,9637 is 23 .

LCM of Denominators means LCM of 764,5161 as per the given fractions.

LCM of 764,5161 is 3943004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1978,9637

GCF of Fractions 1978/764,9637/5161 is 23/3943004

23 1978, 9637
86, 419

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 1978,9637 By Matching Biggest Common Factor Method

Greatest Common Factor of 1978,9637 By Matching Biggest Common Factor Method

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1,2,23,43,46,86,989,1978

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1,23,419,9637

Greatest Common Factor

We found the factors 1978,9637 . The biggest common factor number is the GCF number.
So the greatest common factor 1978,9637 is 23.

Lets's calculate LCM of 764,5161

Given numbers has no common factors except 1. So, there LCM is their product i.e 3943004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3943004

Therefore, the GCF of Fractions 1978/764,9637/5161 is 23/3943004

Least Common Multiple of 764,5161 with GCF Formula

Least Common Multiple of 764,5161 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 764,5161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,5161) = 1

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

GCF(764,5161) x common factors =1 x 1 = 1

LCM(764,5161) = ( 764 × 5161 ) / 1

LCM(764,5161) = 3943004 / 1

LCM(764,5161) = 3943004


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 1978/764, 9637/5161

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 1978/764, 9637/5161?

Answer: GCF of Numerators as per given numbers 1978/764, 9637/5161 is

GCF of Numerators i.e. for 1978,9637 is 23

LCM of denominators i.e. for 764,5161 is 3943004.

Thus, GCF of Fractions is 23/3943004.Finally, GCF of Fractions for 1978/764, 9637/5161 is 23/3943004.