Greatest Common Factor of 52/33, 20/69, 692/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/33, 20/69, 692/828

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 52/33,20/69,692/828

Given fractions are 52/33,20/69,692/828

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 52,20,692

Greatest Common Factor of Numerators i.e. GCF of 52,20,692 is 4 .

LCM of Denominators means LCM of 33,69,828 as per the given fractions.

LCM of 33,69,828 is 9108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,20,692

GCF of Fractions 52/33,20/69,692/828 is 4/9108

2 52, 20, 692
2 26, 10, 346
13, 5, 173

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,20,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,20,692 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 52,20,692 . The biggest common factor number is the GCF number.
So the greatest common factor 52,20,692 is 4.

Lets's calculate LCM of 33,69,828

3 33, 69, 828
23 11, 23, 276
11, 1, 12

∴ So the LCM of the given numbers is 3 x 23 x 11 x 1 x 12 = 9108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9108

Therefore, the GCF of Fractions 52/33,20/69,692/828 is 4/9108

Least Common Multiple of 33,69,828 with GCF Formula

Least Common Multiple of 33,69,828 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 33,69,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,69,828) = 3

common factors(in case of two or more numbers have common factors) = 69

GCF(33,69,828) x common factors =3 x 69 = 207

LCM(33,69,828) = ( 33 × 69 × 828 ) / 207

LCM(33,69,828) = 1885356 / 207

LCM(33,69,828) = 9108


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 52/33, 20/69, 692/828

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 52/33, 20/69, 692/828?

Answer: GCF of Numerators as per given numbers 52/33, 20/69, 692/828 is

GCF of Numerators i.e. for 52,20,692 is 4

LCM of denominators i.e. for 33,69,828 is 9108.

Thus, GCF of Fractions is 4/9108.Finally, GCF of Fractions for 52/33, 20/69, 692/828 is 4/9108.