Greatest Common Factor of 8921/353, 5714/1122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8921/353, 5714/1122

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 8921/353,5714/1122

Given fractions are 8921/353,5714/1122

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 8921,5714

Greatest Common Factor of Numerators i.e. GCF of 8921,5714 is 1 .

LCM of Denominators means LCM of 353,1122 as per the given fractions.

LCM of 353,1122 is 396066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8921,5714

GCF of Fractions 8921/353,5714/1122 is 1/396066

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

Greatest Common Factor of 8921,5714 By Matching Biggest Common Factor Method

Greatest Common Factor of 8921,5714 By Matching Biggest Common Factor Method

Factors of 8921

List of positive integer factors of 8921 that divides 8921 without a remainder.

1,11,811,8921

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Greatest Common Factor

We found the factors 8921,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 8921,5714 is 1.

Lets's calculate LCM of 353,1122

Given numbers has no common factors except 1. So, there LCM is their product i.e 396066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396066

Therefore, the GCF of Fractions 8921/353,5714/1122 is 1/396066

Least Common Multiple of 353,1122 with GCF Formula

Least Common Multiple of 353,1122 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 353,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,1122) = 1

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

GCF(353,1122) x common factors =1 x 1 = 1

LCM(353,1122) = ( 353 × 1122 ) / 1

LCM(353,1122) = 396066 / 1

LCM(353,1122) = 396066


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 8921/353, 5714/1122

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 8921/353, 5714/1122?

Answer: GCF of Numerators as per given numbers 8921/353, 5714/1122 is

GCF of Numerators i.e. for 8921,5714 is 1

LCM of denominators i.e. for 353,1122 is 396066.

Thus, GCF of Fractions is 1/396066.Finally, GCF of Fractions for 8921/353, 5714/1122 is 1/396066.