Greatest Common Factor of 5989/862, 9641/2226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5989/862, 9641/2226

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 5989/862,9641/2226

Given fractions are 5989/862,9641/2226

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 5989,9641

Greatest Common Factor of Numerators i.e. GCF of 5989,9641 is 1 .

LCM of Denominators means LCM of 862,2226 as per the given fractions.

LCM of 862,2226 is 959406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5989,9641

GCF of Fractions 5989/862,9641/2226 is 1/959406

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

Greatest Common Factor of 5989,9641 By Matching Biggest Common Factor Method

Greatest Common Factor of 5989,9641 By Matching Biggest Common Factor Method

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Factors of 9641

List of positive integer factors of 9641 that divides 9641 without a remainder.

1,31,311,9641

Greatest Common Factor

We found the factors 5989,9641 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,9641 is 1.

Lets's calculate LCM of 862,2226

2 862, 2226
431, 1113

∴ So the LCM of the given numbers is 2 x 431 x 1113 = 959406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/959406

Therefore, the GCF of Fractions 5989/862,9641/2226 is 1/959406

Least Common Multiple of 862,2226 with GCF Formula

Least Common Multiple of 862,2226 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 862,2226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,2226) = 2

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

GCF(862,2226) x common factors =2 x 1 = 2

LCM(862,2226) = ( 862 × 2226 ) / 2

LCM(862,2226) = 1918812 / 2

LCM(862,2226) = 959406


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 5989/862, 9641/2226

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 5989/862, 9641/2226?

Answer: GCF of Numerators as per given numbers 5989/862, 9641/2226 is

GCF of Numerators i.e. for 5989,9641 is 1

LCM of denominators i.e. for 862,2226 is 959406.

Thus, GCF of Fractions is 1/959406.Finally, GCF of Fractions for 5989/862, 9641/2226 is 1/959406.