Greatest Common Factor of 8175/39, 2423/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8175/39, 2423/689

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 8175/39,2423/689

Given fractions are 8175/39,2423/689

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 8175,2423

Greatest Common Factor of Numerators i.e. GCF of 8175,2423 is 1 .

LCM of Denominators means LCM of 39,689 as per the given fractions.

LCM of 39,689 is 2067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8175,2423

GCF of Fractions 8175/39,2423/689 is 1/2067

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

Greatest Common Factor of 8175,2423 By Matching Biggest Common Factor Method

Greatest Common Factor of 8175,2423 By Matching Biggest Common Factor Method

Factors of 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1,3,5,15,25,75,109,327,545,1635,2725,8175

Factors of 2423

List of positive integer factors of 2423 that divides 2423 without a remainder.

1,2423

Greatest Common Factor

We found the factors 8175,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 8175,2423 is 1.

Lets's calculate LCM of 39,689

13 39, 689
3, 53

∴ So the LCM of the given numbers is 13 x 3 x 53 = 2067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2067

Therefore, the GCF of Fractions 8175/39,2423/689 is 1/2067

Least Common Multiple of 39,689 with GCF Formula

Least Common Multiple of 39,689 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 39,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,689) = 13

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

GCF(39,689) x common factors =13 x 1 = 13

LCM(39,689) = ( 39 × 689 ) / 13

LCM(39,689) = 26871 / 13

LCM(39,689) = 2067


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 8175/39, 2423/689

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 8175/39, 2423/689?

Answer: GCF of Numerators as per given numbers 8175/39, 2423/689 is

GCF of Numerators i.e. for 8175,2423 is 1

LCM of denominators i.e. for 39,689 is 2067.

Thus, GCF of Fractions is 1/2067.Finally, GCF of Fractions for 8175/39, 2423/689 is 1/2067.