Greatest Common Factor of 971/39, 752/63, 590/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 971/39, 752/63, 590/353

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 971/39,752/63,590/353

Given fractions are 971/39,752/63,590/353

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 971,752,590

Greatest Common Factor of Numerators i.e. GCF of 971,752,590 is 1 .

LCM of Denominators means LCM of 39,63,353 as per the given fractions.

LCM of 39,63,353 is 289107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,752,590

GCF of Fractions 971/39,752/63,590/353 is 1/289107

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

Greatest Common Factor of 971,752,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,752,590 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 971,752,590 . The biggest common factor number is the GCF number.
So the greatest common factor 971,752,590 is 1.


Lets's calculate LCM of 39,63,353

3 39, 63, 353
13, 21, 353

∴ So the LCM of the given numbers is 3 x 13 x 21 x 353 = 289107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289107

Therefore, the GCF of Fractions 971/39,752/63,590/353 is 1/289107

Least Common Multiple of 39,63,353 with GCF Formula

Least Common Multiple of 39,63,353 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 39,63,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,63,353) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,63,353) x common factors =1 x 3 = 3

LCM(39,63,353) = ( 39 × 63 × 353 ) / 3

LCM(39,63,353) = 867321 / 3

LCM(39,63,353) = 289107


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 971/39, 752/63, 590/353

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 971/39, 752/63, 590/353?

Answer: GCF of Numerators as per given numbers 971/39, 752/63, 590/353 is

GCF of Numerators i.e. for 971,752,590 is 1

LCM of denominators i.e. for 39,63,353 is 289107.

Thus, GCF of Fractions is 1/289107.Finally, GCF of Fractions for 971/39, 752/63, 590/353 is 1/289107.