Greatest Common Factor of 2144/317, 9629/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2144/317, 9629/883

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 2144/317,9629/883

Given fractions are 2144/317,9629/883

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 2144,9629

Greatest Common Factor of Numerators i.e. GCF of 2144,9629 is 1 .

LCM of Denominators means LCM of 317,883 as per the given fractions.

LCM of 317,883 is 279911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2144,9629

GCF of Fractions 2144/317,9629/883 is 1/279911

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

Greatest Common Factor of 2144,9629 By Matching Biggest Common Factor Method

Greatest Common Factor of 2144,9629 By Matching Biggest Common Factor Method

Factors of 2144

List of positive integer factors of 2144 that divides 2144 without a remainder.

1,2,4,8,16,32,67,134,268,536,1072,2144

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1,9629

Greatest Common Factor

We found the factors 2144,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 2144,9629 is 1.

Lets's calculate LCM of 317,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 279911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279911

Therefore, the GCF of Fractions 2144/317,9629/883 is 1/279911

Least Common Multiple of 317,883 with GCF Formula

Least Common Multiple of 317,883 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 317,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,883) = 1

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

GCF(317,883) x common factors =1 x 1 = 1

LCM(317,883) = ( 317 × 883 ) / 1

LCM(317,883) = 279911 / 1

LCM(317,883) = 279911


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 2144/317, 9629/883

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 2144/317, 9629/883?

Answer: GCF of Numerators as per given numbers 2144/317, 9629/883 is

GCF of Numerators i.e. for 2144,9629 is 1

LCM of denominators i.e. for 317,883 is 279911.

Thus, GCF of Fractions is 1/279911.Finally, GCF of Fractions for 2144/317, 9629/883 is 1/279911.