Greatest Common Factor of 540/171, 765/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 540/171, 765/536

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 540/171,765/536

Given fractions are 540/171,765/536

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 540,765

Greatest Common Factor of Numerators i.e. GCF of 540,765 is 45 .

LCM of Denominators means LCM of 171,536 as per the given fractions.

LCM of 171,536 is 91656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,765

GCF of Fractions 540/171,765/536 is 45/91656

3 540, 765
3 180, 255
5 60, 85
12, 17

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 540,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,765 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 540,765 . The biggest common factor number is the GCF number.
So the greatest common factor 540,765 is 45.

Lets's calculate LCM of 171,536

Given numbers has no common factors except 1. So, there LCM is their product i.e 91656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/91656

Therefore, the GCF of Fractions 540/171,765/536 is 45/91656

Least Common Multiple of 171,536 with GCF Formula

Least Common Multiple of 171,536 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 171,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,536) = 1

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

GCF(171,536) x common factors =1 x 1 = 1

LCM(171,536) = ( 171 × 536 ) / 1

LCM(171,536) = 91656 / 1

LCM(171,536) = 91656


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 540/171, 765/536

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 540/171, 765/536?

Answer: GCF of Numerators as per given numbers 540/171, 765/536 is

GCF of Numerators i.e. for 540,765 is 45

LCM of denominators i.e. for 171,536 is 91656.

Thus, GCF of Fractions is 45/91656.Finally, GCF of Fractions for 540/171, 765/536 is 45/91656.