Greatest Common Factor of 9377/731, 5709/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9377/731, 5709/103

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 9377/731,5709/103

Given fractions are 9377/731,5709/103

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 9377,5709

Greatest Common Factor of Numerators i.e. GCF of 9377,5709 is 1 .

LCM of Denominators means LCM of 731,103 as per the given fractions.

LCM of 731,103 is 75293 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9377,5709

GCF of Fractions 9377/731,5709/103 is 1/75293

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

Greatest Common Factor of 9377,5709 By Matching Biggest Common Factor Method

Greatest Common Factor of 9377,5709 By Matching Biggest Common Factor Method

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1,9377

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Greatest Common Factor

We found the factors 9377,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,5709 is 1.

Lets's calculate LCM of 731,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 75293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75293

Therefore, the GCF of Fractions 9377/731,5709/103 is 1/75293

Least Common Multiple of 731,103 with GCF Formula

Least Common Multiple of 731,103 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 731,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,103) = 1

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

GCF(731,103) x common factors =1 x 1 = 1

LCM(731,103) = ( 731 × 103 ) / 1

LCM(731,103) = 75293 / 1

LCM(731,103) = 75293


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 9377/731, 5709/103

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 9377/731, 5709/103?

Answer: GCF of Numerators as per given numbers 9377/731, 5709/103 is

GCF of Numerators i.e. for 9377,5709 is 1

LCM of denominators i.e. for 731,103 is 75293.

Thus, GCF of Fractions is 1/75293.Finally, GCF of Fractions for 9377/731, 5709/103 is 1/75293.