Greatest Common Factor of 9661/739, 4188/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9661/739, 4188/432

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 9661/739,4188/432

Given fractions are 9661/739,4188/432

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 9661,4188

Greatest Common Factor of Numerators i.e. GCF of 9661,4188 is 1 .

LCM of Denominators means LCM of 739,432 as per the given fractions.

LCM of 739,432 is 319248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9661,4188

GCF of Fractions 9661/739,4188/432 is 1/319248

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

Greatest Common Factor of 9661,4188 By Matching Biggest Common Factor Method

Greatest Common Factor of 9661,4188 By Matching Biggest Common Factor Method

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1,9661

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

Greatest Common Factor

We found the factors 9661,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 9661,4188 is 1.

Lets's calculate LCM of 739,432

Given numbers has no common factors except 1. So, there LCM is their product i.e 319248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319248

Therefore, the GCF of Fractions 9661/739,4188/432 is 1/319248

Least Common Multiple of 739,432 with GCF Formula

Least Common Multiple of 739,432 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 739,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,432) = 1

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

GCF(739,432) x common factors =1 x 1 = 1

LCM(739,432) = ( 739 × 432 ) / 1

LCM(739,432) = 319248 / 1

LCM(739,432) = 319248


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 9661/739, 4188/432

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 9661/739, 4188/432?

Answer: GCF of Numerators as per given numbers 9661/739, 4188/432 is

GCF of Numerators i.e. for 9661,4188 is 1

LCM of denominators i.e. for 739,432 is 319248.

Thus, GCF of Fractions is 1/319248.Finally, GCF of Fractions for 9661/739, 4188/432 is 1/319248.