Greatest Common Factor of 2152/378, 9967/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2152/378, 9967/471

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 2152/378,9967/471

Given fractions are 2152/378,9967/471

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 2152,9967

Greatest Common Factor of Numerators i.e. GCF of 2152,9967 is 1 .

LCM of Denominators means LCM of 378,471 as per the given fractions.

LCM of 378,471 is 59346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2152,9967

GCF of Fractions 2152/378,9967/471 is 1/59346

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

Greatest Common Factor of 2152,9967 By Matching Biggest Common Factor Method

Greatest Common Factor of 2152,9967 By Matching Biggest Common Factor Method

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Greatest Common Factor

We found the factors 2152,9967 . The biggest common factor number is the GCF number.
So the greatest common factor 2152,9967 is 1.

Lets's calculate LCM of 378,471

3 378, 471
126, 157

∴ So the LCM of the given numbers is 3 x 126 x 157 = 59346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59346

Therefore, the GCF of Fractions 2152/378,9967/471 is 1/59346

Least Common Multiple of 378,471 with GCF Formula

Least Common Multiple of 378,471 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 378,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,471) = 3

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

GCF(378,471) x common factors =3 x 1 = 3

LCM(378,471) = ( 378 × 471 ) / 3

LCM(378,471) = 178038 / 3

LCM(378,471) = 59346


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 2152/378, 9967/471

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 2152/378, 9967/471?

Answer: GCF of Numerators as per given numbers 2152/378, 9967/471 is

GCF of Numerators i.e. for 2152,9967 is 1

LCM of denominators i.e. for 378,471 is 59346.

Thus, GCF of Fractions is 1/59346.Finally, GCF of Fractions for 2152/378, 9967/471 is 1/59346.