Greatest Common Factor of 57/33, 51/65, 621/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/33, 51/65, 621/936

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 57/33,51/65,621/936

Given fractions are 57/33,51/65,621/936

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 57,51,621

Greatest Common Factor of Numerators i.e. GCF of 57,51,621 is 3 .

LCM of Denominators means LCM of 33,65,936 as per the given fractions.

LCM of 33,65,936 is 51480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,51,621

GCF of Fractions 57/33,51/65,621/936 is 3/51480

3 57, 51, 621
19, 17, 207

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

Greatest Common Factor of 57,51,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,51,621 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 57,51,621 . The biggest common factor number is the GCF number.
So the greatest common factor 57,51,621 is 3.

Lets's calculate LCM of 33,65,936

3 33, 65, 936
13 11, 65, 312
11, 5, 24

∴ So the LCM of the given numbers is 3 x 13 x 11 x 5 x 24 = 51480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51480

Therefore, the GCF of Fractions 57/33,51/65,621/936 is 3/51480

Least Common Multiple of 33,65,936 with GCF Formula

Least Common Multiple of 33,65,936 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 33,65,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,65,936) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(33,65,936) x common factors =1 x 39 = 39

LCM(33,65,936) = ( 33 × 65 × 936 ) / 39

LCM(33,65,936) = 2007720 / 39

LCM(33,65,936) = 51480


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 57/33, 51/65, 621/936

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 57/33, 51/65, 621/936?

Answer: GCF of Numerators as per given numbers 57/33, 51/65, 621/936 is

GCF of Numerators i.e. for 57,51,621 is 3

LCM of denominators i.e. for 33,65,936 is 51480.

Thus, GCF of Fractions is 3/51480.Finally, GCF of Fractions for 57/33, 51/65, 621/936 is 3/51480.