Greatest Common Factor of 8891/749, 2421/1718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8891/749, 2421/1718

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 8891/749,2421/1718

Given fractions are 8891/749,2421/1718

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 8891,2421

Greatest Common Factor of Numerators i.e. GCF of 8891,2421 is 1 .

LCM of Denominators means LCM of 749,1718 as per the given fractions.

LCM of 749,1718 is 1286782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8891,2421

GCF of Fractions 8891/749,2421/1718 is 1/1286782

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

Greatest Common Factor of 8891,2421 By Matching Biggest Common Factor Method

Greatest Common Factor of 8891,2421 By Matching Biggest Common Factor Method

Factors of 8891

List of positive integer factors of 8891 that divides 8891 without a remainder.

1,17,523,8891

Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1,3,9,269,807,2421

Greatest Common Factor

We found the factors 8891,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,2421 is 1.

Lets's calculate LCM of 749,1718

Given numbers has no common factors except 1. So, there LCM is their product i.e 1286782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1286782

Therefore, the GCF of Fractions 8891/749,2421/1718 is 1/1286782

Least Common Multiple of 749,1718 with GCF Formula

Least Common Multiple of 749,1718 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 749,1718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,1718) = 1

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

GCF(749,1718) x common factors =1 x 1 = 1

LCM(749,1718) = ( 749 × 1718 ) / 1

LCM(749,1718) = 1286782 / 1

LCM(749,1718) = 1286782


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 8891/749, 2421/1718

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 8891/749, 2421/1718?

Answer: GCF of Numerators as per given numbers 8891/749, 2421/1718 is

GCF of Numerators i.e. for 8891,2421 is 1

LCM of denominators i.e. for 749,1718 is 1286782.

Thus, GCF of Fractions is 1/1286782.Finally, GCF of Fractions for 8891/749, 2421/1718 is 1/1286782.