Greatest Common Factor of 9361/91, 2893/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9361/91, 2893/986

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 9361/91,2893/986

Given fractions are 9361/91,2893/986

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 9361,2893

Greatest Common Factor of Numerators i.e. GCF of 9361,2893 is 11 .

LCM of Denominators means LCM of 91,986 as per the given fractions.

LCM of 91,986 is 89726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9361,2893

GCF of Fractions 9361/91,2893/986 is 11/89726

11 9361, 2893
851, 263

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9361,2893 By Matching Biggest Common Factor Method

Greatest Common Factor of 9361,2893 By Matching Biggest Common Factor Method

Factors of 9361

List of positive integer factors of 9361 that divides 9361 without a remainder.

1,11,23,37,253,407,851,9361

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Greatest Common Factor

We found the factors 9361,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 9361,2893 is 11.

Lets's calculate LCM of 91,986

Given numbers has no common factors except 1. So, there LCM is their product i.e 89726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/89726

Therefore, the GCF of Fractions 9361/91,2893/986 is 11/89726

Least Common Multiple of 91,986 with GCF Formula

Least Common Multiple of 91,986 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 91,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,986) = 1

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

GCF(91,986) x common factors =1 x 1 = 1

LCM(91,986) = ( 91 × 986 ) / 1

LCM(91,986) = 89726 / 1

LCM(91,986) = 89726


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 9361/91, 2893/986

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 9361/91, 2893/986?

Answer: GCF of Numerators as per given numbers 9361/91, 2893/986 is

GCF of Numerators i.e. for 9361,2893 is 11

LCM of denominators i.e. for 91,986 is 89726.

Thus, GCF of Fractions is 11/89726.Finally, GCF of Fractions for 9361/91, 2893/986 is 11/89726.