Greatest Common Factor of 818/31, 6724/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/31, 6724/688

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 818/31,6724/688

Given fractions are 818/31,6724/688

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 818,6724

Greatest Common Factor of Numerators i.e. GCF of 818,6724 is 2 .

LCM of Denominators means LCM of 31,688 as per the given fractions.

LCM of 31,688 is 21328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,6724

GCF of Fractions 818/31,6724/688 is 2/21328

2 818, 6724
409, 3362

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

Greatest Common Factor of 818,6724 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,6724 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1,2,4,41,82,164,1681,3362,6724

Greatest Common Factor

We found the factors 818,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 818,6724 is 2.

Lets's calculate LCM of 31,688

Given numbers has no common factors except 1. So, there LCM is their product i.e 21328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21328

Therefore, the GCF of Fractions 818/31,6724/688 is 2/21328

Least Common Multiple of 31,688 with GCF Formula

Least Common Multiple of 31,688 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 31,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,688) = 1

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

GCF(31,688) x common factors =1 x 1 = 1

LCM(31,688) = ( 31 × 688 ) / 1

LCM(31,688) = 21328 / 1

LCM(31,688) = 21328


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 818/31, 6724/688

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 818/31, 6724/688?

Answer: GCF of Numerators as per given numbers 818/31, 6724/688 is

GCF of Numerators i.e. for 818,6724 is 2

LCM of denominators i.e. for 31,688 is 21328.

Thus, GCF of Fractions is 2/21328.Finally, GCF of Fractions for 818/31, 6724/688 is 2/21328.