Greatest Common Factor of 8021/544, 1170/9259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8021/544, 1170/9259

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 8021/544,1170/9259

Given fractions are 8021/544,1170/9259

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 8021,1170

Greatest Common Factor of Numerators i.e. GCF of 8021,1170 is 13 .

LCM of Denominators means LCM of 544,9259 as per the given fractions.

LCM of 544,9259 is 5036896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8021,1170

GCF of Fractions 8021/544,1170/9259 is 13/5036896

13 8021, 1170
617, 90

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

Greatest Common Factor of 8021,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 8021,1170 By Matching Biggest Common Factor Method

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1,13,617,8021

Factors of 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 8021,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 8021,1170 is 13.

Lets's calculate LCM of 544,9259

Given numbers has no common factors except 1. So, there LCM is their product i.e 5036896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5036896

Therefore, the GCF of Fractions 8021/544,1170/9259 is 13/5036896

Least Common Multiple of 544,9259 with GCF Formula

Least Common Multiple of 544,9259 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 544,9259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,9259) = 1

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

GCF(544,9259) x common factors =1 x 1 = 1

LCM(544,9259) = ( 544 × 9259 ) / 1

LCM(544,9259) = 5036896 / 1

LCM(544,9259) = 5036896


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 8021/544, 1170/9259

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 8021/544, 1170/9259?

Answer: GCF of Numerators as per given numbers 8021/544, 1170/9259 is

GCF of Numerators i.e. for 8021,1170 is 13

LCM of denominators i.e. for 544,9259 is 5036896.

Thus, GCF of Fractions is 13/5036896.Finally, GCF of Fractions for 8021/544, 1170/9259 is 13/5036896.