Greatest Common Factor of 195/243, 564/182, 545/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/243, 564/182, 545/539

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 195/243,564/182,545/539

Given fractions are 195/243,564/182,545/539

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 195,564,545

Greatest Common Factor of Numerators i.e. GCF of 195,564,545 is 1 .

LCM of Denominators means LCM of 243,182,539 as per the given fractions.

LCM of 243,182,539 is 3405402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,564,545

GCF of Fractions 195/243,564/182,545/539 is 1/3405402

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

Greatest Common Factor of 195,564,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,564,545 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 195,564,545 . The biggest common factor number is the GCF number.
So the greatest common factor 195,564,545 is 1.

Lets's calculate LCM of 243,182,539

7 243, 182, 539
243, 26, 77

∴ So the LCM of the given numbers is 7 x 243 x 26 x 77 = 3405402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3405402

Therefore, the GCF of Fractions 195/243,564/182,545/539 is 1/3405402

Least Common Multiple of 243,182,539 with GCF Formula

Least Common Multiple of 243,182,539 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 243,182,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,182,539) = 1

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

GCF(243,182,539) x common factors =1 x 7 = 7

LCM(243,182,539) = ( 243 × 182 × 539 ) / 7

LCM(243,182,539) = 23837814 / 7

LCM(243,182,539) = 3405402


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 195/243, 564/182, 545/539

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 195/243, 564/182, 545/539?

Answer: GCF of Numerators as per given numbers 195/243, 564/182, 545/539 is

GCF of Numerators i.e. for 195,564,545 is 1

LCM of denominators i.e. for 243,182,539 is 3405402.

Thus, GCF of Fractions is 1/3405402.Finally, GCF of Fractions for 195/243, 564/182, 545/539 is 1/3405402.