Greatest Common Factor of 235/39, 761/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/39, 761/489

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 235/39,761/489

Given fractions are 235/39,761/489

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 235,761

Greatest Common Factor of Numerators i.e. GCF of 235,761 is 1 .

LCM of Denominators means LCM of 39,489 as per the given fractions.

LCM of 39,489 is 6357 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,761

GCF of Fractions 235/39,761/489 is 1/6357

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

Greatest Common Factor of 235,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,761 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 235,761 . The biggest common factor number is the GCF number.
So the greatest common factor 235,761 is 1.

Lets's calculate LCM of 39,489

3 39, 489
13, 163

∴ So the LCM of the given numbers is 3 x 13 x 163 = 6357

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6357

Therefore, the GCF of Fractions 235/39,761/489 is 1/6357

Least Common Multiple of 39,489 with GCF Formula

Least Common Multiple of 39,489 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 39,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,489) = 3

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

GCF(39,489) x common factors =3 x 1 = 3

LCM(39,489) = ( 39 × 489 ) / 3

LCM(39,489) = 19071 / 3

LCM(39,489) = 6357


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 235/39, 761/489

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 235/39, 761/489?

Answer: GCF of Numerators as per given numbers 235/39, 761/489 is

GCF of Numerators i.e. for 235,761 is 1

LCM of denominators i.e. for 39,489 is 6357.

Thus, GCF of Fractions is 1/6357.Finally, GCF of Fractions for 235/39, 761/489 is 1/6357.