Greatest Common Factor of 9386/220, 7033/5311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9386/220, 7033/5311

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 9386/220,7033/5311

Given fractions are 9386/220,7033/5311

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 9386,7033

Greatest Common Factor of Numerators i.e. GCF of 9386,7033 is 13 .

LCM of Denominators means LCM of 220,5311 as per the given fractions.

LCM of 220,5311 is 1168420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9386,7033

GCF of Fractions 9386/220,7033/5311 is 13/1168420

13 9386, 7033
722, 541

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9386,7033 By Matching Biggest Common Factor Method

Greatest Common Factor of 9386,7033 By Matching Biggest Common Factor Method

Factors of 9386

List of positive integer factors of 9386 that divides 9386 without a remainder.

1,2,13,19,26,38,247,361,494,722,4693,9386

Factors of 7033

List of positive integer factors of 7033 that divides 7033 without a remainder.

1,13,541,7033

Greatest Common Factor

We found the factors 9386,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 9386,7033 is 13.

Lets's calculate LCM of 220,5311

Given numbers has no common factors except 1. So, there LCM is their product i.e 1168420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1168420

Therefore, the GCF of Fractions 9386/220,7033/5311 is 13/1168420

Least Common Multiple of 220,5311 with GCF Formula

Least Common Multiple of 220,5311 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 220,5311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,5311) = 1

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

GCF(220,5311) x common factors =1 x 1 = 1

LCM(220,5311) = ( 220 × 5311 ) / 1

LCM(220,5311) = 1168420 / 1

LCM(220,5311) = 1168420


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 9386/220, 7033/5311

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 9386/220, 7033/5311?

Answer: GCF of Numerators as per given numbers 9386/220, 7033/5311 is

GCF of Numerators i.e. for 9386,7033 is 13

LCM of denominators i.e. for 220,5311 is 1168420.

Thus, GCF of Fractions is 13/1168420.Finally, GCF of Fractions for 9386/220, 7033/5311 is 13/1168420.