Greatest Common Factor of 546/37, 507/18, 735/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/37, 507/18, 735/864

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 546/37,507/18,735/864

Given fractions are 546/37,507/18,735/864

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 546,507,735

Greatest Common Factor of Numerators i.e. GCF of 546,507,735 is 3 .

LCM of Denominators means LCM of 37,18,864 as per the given fractions.

LCM of 37,18,864 is 31968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,507,735

GCF of Fractions 546/37,507/18,735/864 is 3/31968

3 546, 507, 735
182, 169, 245

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

Greatest Common Factor of 546,507,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,507,735 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 546,507,735 . The biggest common factor number is the GCF number.
So the greatest common factor 546,507,735 is 3.

Lets's calculate LCM of 37,18,864

2 37, 18, 864
3 37, 9, 432
3 37, 3, 144
37, 1, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 1 x 48 = 31968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31968

Therefore, the GCF of Fractions 546/37,507/18,735/864 is 3/31968

Least Common Multiple of 37,18,864 with GCF Formula

Least Common Multiple of 37,18,864 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 37,18,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,18,864) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(37,18,864) x common factors =1 x 18 = 18

LCM(37,18,864) = ( 37 × 18 × 864 ) / 18

LCM(37,18,864) = 575424 / 18

LCM(37,18,864) = 31968


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 546/37, 507/18, 735/864

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 546/37, 507/18, 735/864?

Answer: GCF of Numerators as per given numbers 546/37, 507/18, 735/864 is

GCF of Numerators i.e. for 546,507,735 is 3

LCM of denominators i.e. for 37,18,864 is 31968.

Thus, GCF of Fractions is 3/31968.Finally, GCF of Fractions for 546/37, 507/18, 735/864 is 3/31968.