Greatest Common Factor of 8981/674, 6886/1221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8981/674, 6886/1221

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 8981/674,6886/1221

Given fractions are 8981/674,6886/1221

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 8981,6886

Greatest Common Factor of Numerators i.e. GCF of 8981,6886 is 1 .

LCM of Denominators means LCM of 674,1221 as per the given fractions.

LCM of 674,1221 is 822954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8981,6886

GCF of Fractions 8981/674,6886/1221 is 1/822954

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

Greatest Common Factor of 8981,6886 By Matching Biggest Common Factor Method

Greatest Common Factor of 8981,6886 By Matching Biggest Common Factor Method

Factors of 8981

List of positive integer factors of 8981 that divides 8981 without a remainder.

1,7,1283,8981

Factors of 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1,2,11,22,313,626,3443,6886

Greatest Common Factor

We found the factors 8981,6886 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,6886 is 1.

Lets's calculate LCM of 674,1221

Given numbers has no common factors except 1. So, there LCM is their product i.e 822954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/822954

Therefore, the GCF of Fractions 8981/674,6886/1221 is 1/822954

Least Common Multiple of 674,1221 with GCF Formula

Least Common Multiple of 674,1221 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 674,1221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,1221) = 1

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

GCF(674,1221) x common factors =1 x 1 = 1

LCM(674,1221) = ( 674 × 1221 ) / 1

LCM(674,1221) = 822954 / 1

LCM(674,1221) = 822954


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 8981/674, 6886/1221

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 8981/674, 6886/1221?

Answer: GCF of Numerators as per given numbers 8981/674, 6886/1221 is

GCF of Numerators i.e. for 8981,6886 is 1

LCM of denominators i.e. for 674,1221 is 822954.

Thus, GCF of Fractions is 1/822954.Finally, GCF of Fractions for 8981/674, 6886/1221 is 1/822954.