Greatest Common Factor of 4309/25, 5932/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4309/25, 5932/865

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 4309/25,5932/865

Given fractions are 4309/25,5932/865

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 4309,5932

Greatest Common Factor of Numerators i.e. GCF of 4309,5932 is 1 .

LCM of Denominators means LCM of 25,865 as per the given fractions.

LCM of 25,865 is 4325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4309,5932

GCF of Fractions 4309/25,5932/865 is 1/4325

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

Greatest Common Factor of 4309,5932 By Matching Biggest Common Factor Method

Greatest Common Factor of 4309,5932 By Matching Biggest Common Factor Method

Factors of 4309

List of positive integer factors of 4309 that divides 4309 without a remainder.

1,31,139,4309

Factors of 5932

List of positive integer factors of 5932 that divides 5932 without a remainder.

1,2,4,1483,2966,5932

Greatest Common Factor

We found the factors 4309,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 4309,5932 is 1.

Lets's calculate LCM of 25,865

5 25, 865
5, 173

∴ So the LCM of the given numbers is 5 x 5 x 173 = 4325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4325

Therefore, the GCF of Fractions 4309/25,5932/865 is 1/4325

Least Common Multiple of 25,865 with GCF Formula

Least Common Multiple of 25,865 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 25,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,865) = 5

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

GCF(25,865) x common factors =5 x 1 = 5

LCM(25,865) = ( 25 × 865 ) / 5

LCM(25,865) = 21625 / 5

LCM(25,865) = 4325


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 4309/25, 5932/865

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 4309/25, 5932/865?

Answer: GCF of Numerators as per given numbers 4309/25, 5932/865 is

GCF of Numerators i.e. for 4309,5932 is 1

LCM of denominators i.e. for 25,865 is 4325.

Thus, GCF of Fractions is 1/4325.Finally, GCF of Fractions for 4309/25, 5932/865 is 1/4325.