Greatest Common Factor of 2159/743, 9927/4171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2159/743, 9927/4171

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 2159/743,9927/4171

Given fractions are 2159/743,9927/4171

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 2159,9927

Greatest Common Factor of Numerators i.e. GCF of 2159,9927 is 1 .

LCM of Denominators means LCM of 743,4171 as per the given fractions.

LCM of 743,4171 is 3099053 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2159,9927

GCF of Fractions 2159/743,9927/4171 is 1/3099053

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

Greatest Common Factor of 2159,9927 By Matching Biggest Common Factor Method

Greatest Common Factor of 2159,9927 By Matching Biggest Common Factor Method

Factors of 2159

List of positive integer factors of 2159 that divides 2159 without a remainder.

1,17,127,2159

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1,3,9,1103,3309,9927

Greatest Common Factor

We found the factors 2159,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 2159,9927 is 1.

Lets's calculate LCM of 743,4171

Given numbers has no common factors except 1. So, there LCM is their product i.e 3099053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3099053

Therefore, the GCF of Fractions 2159/743,9927/4171 is 1/3099053

Least Common Multiple of 743,4171 with GCF Formula

Least Common Multiple of 743,4171 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 743,4171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,4171) = 1

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

GCF(743,4171) x common factors =1 x 1 = 1

LCM(743,4171) = ( 743 × 4171 ) / 1

LCM(743,4171) = 3099053 / 1

LCM(743,4171) = 3099053


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 2159/743, 9927/4171

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 2159/743, 9927/4171?

Answer: GCF of Numerators as per given numbers 2159/743, 9927/4171 is

GCF of Numerators i.e. for 2159,9927 is 1

LCM of denominators i.e. for 743,4171 is 3099053.

Thus, GCF of Fractions is 1/3099053.Finally, GCF of Fractions for 2159/743, 9927/4171 is 1/3099053.