Greatest Common Factor of 8520/861, 1213/1339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8520/861, 1213/1339

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 8520/861,1213/1339

Given fractions are 8520/861,1213/1339

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 8520,1213

Greatest Common Factor of Numerators i.e. GCF of 8520,1213 is 1 .

LCM of Denominators means LCM of 861,1339 as per the given fractions.

LCM of 861,1339 is 1152879 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8520,1213

GCF of Fractions 8520/861,1213/1339 is 1/1152879

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

Greatest Common Factor of 8520,1213 By Matching Biggest Common Factor Method

Greatest Common Factor of 8520,1213 By Matching Biggest Common Factor Method

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

Greatest Common Factor

We found the factors 8520,1213 . The biggest common factor number is the GCF number.
So the greatest common factor 8520,1213 is 1.

Lets's calculate LCM of 861,1339

Given numbers has no common factors except 1. So, there LCM is their product i.e 1152879

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1152879

Therefore, the GCF of Fractions 8520/861,1213/1339 is 1/1152879

Least Common Multiple of 861,1339 with GCF Formula

Least Common Multiple of 861,1339 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 861,1339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,1339) = 1

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

GCF(861,1339) x common factors =1 x 1 = 1

LCM(861,1339) = ( 861 × 1339 ) / 1

LCM(861,1339) = 1152879 / 1

LCM(861,1339) = 1152879


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 8520/861, 1213/1339

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 8520/861, 1213/1339?

Answer: GCF of Numerators as per given numbers 8520/861, 1213/1339 is

GCF of Numerators i.e. for 8520,1213 is 1

LCM of denominators i.e. for 861,1339 is 1152879.

Thus, GCF of Fractions is 1/1152879.Finally, GCF of Fractions for 8520/861, 1213/1339 is 1/1152879.