Greatest Common Factor of 9771/239, 3589/5377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9771/239, 3589/5377

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 9771/239,3589/5377

Given fractions are 9771/239,3589/5377

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 9771,3589

Greatest Common Factor of Numerators i.e. GCF of 9771,3589 is 1 .

LCM of Denominators means LCM of 239,5377 as per the given fractions.

LCM of 239,5377 is 1285103 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9771,3589

GCF of Fractions 9771/239,3589/5377 is 1/1285103

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

Greatest Common Factor of 9771,3589 By Matching Biggest Common Factor Method

Greatest Common Factor of 9771,3589 By Matching Biggest Common Factor Method

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Factors of 3589

List of positive integer factors of 3589 that divides 3589 without a remainder.

1,37,97,3589

Greatest Common Factor

We found the factors 9771,3589 . The biggest common factor number is the GCF number.
So the greatest common factor 9771,3589 is 1.

Lets's calculate LCM of 239,5377

Given numbers has no common factors except 1. So, there LCM is their product i.e 1285103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1285103

Therefore, the GCF of Fractions 9771/239,3589/5377 is 1/1285103

Least Common Multiple of 239,5377 with GCF Formula

Least Common Multiple of 239,5377 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 239,5377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,5377) = 1

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

GCF(239,5377) x common factors =1 x 1 = 1

LCM(239,5377) = ( 239 × 5377 ) / 1

LCM(239,5377) = 1285103 / 1

LCM(239,5377) = 1285103


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 9771/239, 3589/5377

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 9771/239, 3589/5377?

Answer: GCF of Numerators as per given numbers 9771/239, 3589/5377 is

GCF of Numerators i.e. for 9771,3589 is 1

LCM of denominators i.e. for 239,5377 is 1285103.

Thus, GCF of Fractions is 1/1285103.Finally, GCF of Fractions for 9771/239, 3589/5377 is 1/1285103.