Greatest Common Factor of 595/943, 539/970, 315/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/943, 539/970, 315/359

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 595/943,539/970,315/359

Given fractions are 595/943,539/970,315/359

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 595,539,315

Greatest Common Factor of Numerators i.e. GCF of 595,539,315 is 7 .

LCM of Denominators means LCM of 943,970,359 as per the given fractions.

LCM of 943,970,359 is 328380890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,539,315

GCF of Fractions 595/943,539/970,315/359 is 7/328380890

7 595, 539, 315
85, 77, 45

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 595,539,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,539,315 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 595,539,315 . The biggest common factor number is the GCF number.
So the greatest common factor 595,539,315 is 7.

Lets's calculate LCM of 943,970,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 328380890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/328380890

Therefore, the GCF of Fractions 595/943,539/970,315/359 is 7/328380890

Least Common Multiple of 943,970,359 with GCF Formula

Least Common Multiple of 943,970,359 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 943,970,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,970,359) = 1

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

GCF(943,970,359) x common factors =1 x 1 = 1

LCM(943,970,359) = ( 943 × 970 × 359 ) / 1

LCM(943,970,359) = 328380890 / 1

LCM(943,970,359) = 328380890


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 595/943, 539/970, 315/359

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 595/943, 539/970, 315/359?

Answer: GCF of Numerators as per given numbers 595/943, 539/970, 315/359 is

GCF of Numerators i.e. for 595,539,315 is 7

LCM of denominators i.e. for 943,970,359 is 328380890.

Thus, GCF of Fractions is 7/328380890.Finally, GCF of Fractions for 595/943, 539/970, 315/359 is 7/328380890.