Greatest Common Factor of 39/595, 105/994, 435/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/595, 105/994, 435/971

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 39/595,105/994,435/971

Given fractions are 39/595,105/994,435/971

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 39,105,435

Greatest Common Factor of Numerators i.e. GCF of 39,105,435 is 3 .

LCM of Denominators means LCM of 595,994,971 as per the given fractions.

LCM of 595,994,971 is 82039790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,105,435

GCF of Fractions 39/595,105/994,435/971 is 3/82039790

3 39, 105, 435
13, 35, 145

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,105,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,105,435 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 39,105,435 . The biggest common factor number is the GCF number.
So the greatest common factor 39,105,435 is 3.

Lets's calculate LCM of 595,994,971

7 595, 994, 971
85, 142, 971

∴ So the LCM of the given numbers is 7 x 85 x 142 x 971 = 82039790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82039790

Therefore, the GCF of Fractions 39/595,105/994,435/971 is 3/82039790

Least Common Multiple of 595,994,971 with GCF Formula

Least Common Multiple of 595,994,971 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 595,994,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,994,971) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(595,994,971) x common factors =1 x 7 = 7

LCM(595,994,971) = ( 595 × 994 × 971 ) / 7

LCM(595,994,971) = 574278530 / 7

LCM(595,994,971) = 82039790


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 39/595, 105/994, 435/971

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 39/595, 105/994, 435/971?

Answer: GCF of Numerators as per given numbers 39/595, 105/994, 435/971 is

GCF of Numerators i.e. for 39,105,435 is 3

LCM of denominators i.e. for 595,994,971 is 82039790.

Thus, GCF of Fractions is 3/82039790.Finally, GCF of Fractions for 39/595, 105/994, 435/971 is 3/82039790.