Greatest Common Factor of 1131/86, 8515/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1131/86, 8515/470

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 1131/86,8515/470

Given fractions are 1131/86,8515/470

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 1131,8515

Greatest Common Factor of Numerators i.e. GCF of 1131,8515 is 13 .

LCM of Denominators means LCM of 86,470 as per the given fractions.

LCM of 86,470 is 20210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1131,8515

GCF of Fractions 1131/86,8515/470 is 13/20210

13 1131, 8515
87, 655

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

Greatest Common Factor of 1131,8515 By Matching Biggest Common Factor Method

Greatest Common Factor of 1131,8515 By Matching Biggest Common Factor Method

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Factors of 8515

List of positive integer factors of 8515 that divides 8515 without a remainder.

1,5,13,65,131,655,1703,8515

Greatest Common Factor

We found the factors 1131,8515 . The biggest common factor number is the GCF number.
So the greatest common factor 1131,8515 is 13.

Lets's calculate LCM of 86,470

2 86, 470
43, 235

∴ So the LCM of the given numbers is 2 x 43 x 235 = 20210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20210

Therefore, the GCF of Fractions 1131/86,8515/470 is 13/20210

Least Common Multiple of 86,470 with GCF Formula

Least Common Multiple of 86,470 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 86,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,470) = 2

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

GCF(86,470) x common factors =2 x 1 = 2

LCM(86,470) = ( 86 × 470 ) / 2

LCM(86,470) = 40420 / 2

LCM(86,470) = 20210


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 1131/86, 8515/470

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 1131/86, 8515/470?

Answer: GCF of Numerators as per given numbers 1131/86, 8515/470 is

GCF of Numerators i.e. for 1131,8515 is 13

LCM of denominators i.e. for 86,470 is 20210.

Thus, GCF of Fractions is 13/20210.Finally, GCF of Fractions for 1131/86, 8515/470 is 13/20210.