Greatest Common Factor of 9931/289, 2767/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9931/289, 2767/737

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 9931/289,2767/737

Given fractions are 9931/289,2767/737

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 9931,2767

Greatest Common Factor of Numerators i.e. GCF of 9931,2767 is 1 .

LCM of Denominators means LCM of 289,737 as per the given fractions.

LCM of 289,737 is 212993 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9931,2767

GCF of Fractions 9931/289,2767/737 is 1/212993

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

Greatest Common Factor of 9931,2767 By Matching Biggest Common Factor Method

Greatest Common Factor of 9931,2767 By Matching Biggest Common Factor Method

Factors of 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1,9931

Factors of 2767

List of positive integer factors of 2767 that divides 2767 without a remainder.

1,2767

Greatest Common Factor

We found the factors 9931,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 9931,2767 is 1.

Lets's calculate LCM of 289,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 212993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212993

Therefore, the GCF of Fractions 9931/289,2767/737 is 1/212993

Least Common Multiple of 289,737 with GCF Formula

Least Common Multiple of 289,737 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 289,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,737) = 1

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

GCF(289,737) x common factors =1 x 1 = 1

LCM(289,737) = ( 289 × 737 ) / 1

LCM(289,737) = 212993 / 1

LCM(289,737) = 212993


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 9931/289, 2767/737

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 9931/289, 2767/737?

Answer: GCF of Numerators as per given numbers 9931/289, 2767/737 is

GCF of Numerators i.e. for 9931,2767 is 1

LCM of denominators i.e. for 289,737 is 212993.

Thus, GCF of Fractions is 1/212993.Finally, GCF of Fractions for 9931/289, 2767/737 is 1/212993.