Greatest Common Factor of 860/724, 8102/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/724, 8102/684

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 860/724,8102/684

Given fractions are 860/724,8102/684

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 860,8102

Greatest Common Factor of Numerators i.e. GCF of 860,8102 is 2 .

LCM of Denominators means LCM of 724,684 as per the given fractions.

LCM of 724,684 is 123804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,8102

GCF of Fractions 860/724,8102/684 is 2/123804

2 860, 8102
430, 4051

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 860,8102 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,8102 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Greatest Common Factor

We found the factors 860,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 860,8102 is 2.

Lets's calculate LCM of 724,684

2 724, 684
2 362, 342
181, 171

∴ So the LCM of the given numbers is 2 x 2 x 181 x 171 = 123804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123804

Therefore, the GCF of Fractions 860/724,8102/684 is 2/123804

Least Common Multiple of 724,684 with GCF Formula

Least Common Multiple of 724,684 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 724,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,684) = 4

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

GCF(724,684) x common factors =4 x 1 = 4

LCM(724,684) = ( 724 × 684 ) / 4

LCM(724,684) = 495216 / 4

LCM(724,684) = 123804


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 860/724, 8102/684

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 860/724, 8102/684?

Answer: GCF of Numerators as per given numbers 860/724, 8102/684 is

GCF of Numerators i.e. for 860,8102 is 2

LCM of denominators i.e. for 724,684 is 123804.

Thus, GCF of Fractions is 2/123804.Finally, GCF of Fractions for 860/724, 8102/684 is 2/123804.