Greatest Common Factor of 396/25, 811/20, 692/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 396/25, 811/20, 692/300

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 396/25,811/20,692/300

Given fractions are 396/25,811/20,692/300

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 396,811,692

Greatest Common Factor of Numerators i.e. GCF of 396,811,692 is 1 .

LCM of Denominators means LCM of 25,20,300 as per the given fractions.

LCM of 25,20,300 is 300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,811,692

GCF of Fractions 396/25,811/20,692/300 is 1/300

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

Greatest Common Factor of 396,811,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,811,692 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

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 396,811,692 . The biggest common factor number is the GCF number.
So the greatest common factor 396,811,692 is 1.


Lets's calculate LCM of 25,20,300

2 25, 20, 300
2 25, 10, 150
5 25, 5, 75
5 1, 5, 15
1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 1 x 3 = 300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300

Therefore, the GCF of Fractions 396/25,811/20,692/300 is 1/300

Least Common Multiple of 25,20,300 with GCF Formula

Least Common Multiple of 25,20,300 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 25,20,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,20,300) = 5

common factors(in case of two or more numbers have common factors) = 100

GCF(25,20,300) x common factors =5 x 100 = 500

LCM(25,20,300) = ( 25 × 20 × 300 ) / 500

LCM(25,20,300) = 150000 / 500

LCM(25,20,300) = 300


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 396/25, 811/20, 692/300

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 396/25, 811/20, 692/300?

Answer: GCF of Numerators as per given numbers 396/25, 811/20, 692/300 is

GCF of Numerators i.e. for 396,811,692 is 1

LCM of denominators i.e. for 25,20,300 is 300.

Thus, GCF of Fractions is 1/300.Finally, GCF of Fractions for 396/25, 811/20, 692/300 is 1/300.