Greatest Common Factor of 9949/647, 9132/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9949/647, 9132/141

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 9949/647,9132/141

Given fractions are 9949/647,9132/141

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 9949,9132

Greatest Common Factor of Numerators i.e. GCF of 9949,9132 is 1 .

LCM of Denominators means LCM of 647,141 as per the given fractions.

LCM of 647,141 is 91227 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9949,9132

GCF of Fractions 9949/647,9132/141 is 1/91227

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

Greatest Common Factor of 9949,9132 By Matching Biggest Common Factor Method

Greatest Common Factor of 9949,9132 By Matching Biggest Common Factor Method

Factors of 9949

List of positive integer factors of 9949 that divides 9949 without a remainder.

1,9949

Factors of 9132

List of positive integer factors of 9132 that divides 9132 without a remainder.

1,2,3,4,6,12,761,1522,2283,3044,4566,9132

Greatest Common Factor

We found the factors 9949,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 9949,9132 is 1.

Lets's calculate LCM of 647,141

Given numbers has no common factors except 1. So, there LCM is their product i.e 91227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91227

Therefore, the GCF of Fractions 9949/647,9132/141 is 1/91227

Least Common Multiple of 647,141 with GCF Formula

Least Common Multiple of 647,141 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 647,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,141) = 1

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

GCF(647,141) x common factors =1 x 1 = 1

LCM(647,141) = ( 647 × 141 ) / 1

LCM(647,141) = 91227 / 1

LCM(647,141) = 91227


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 9949/647, 9132/141

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 9949/647, 9132/141?

Answer: GCF of Numerators as per given numbers 9949/647, 9132/141 is

GCF of Numerators i.e. for 9949,9132 is 1

LCM of denominators i.e. for 647,141 is 91227.

Thus, GCF of Fractions is 1/91227.Finally, GCF of Fractions for 9949/647, 9132/141 is 1/91227.