Greatest Common Factor of 900/22, 3684/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 900/22, 3684/402

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 900/22,3684/402

Given fractions are 900/22,3684/402

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 900,3684

Greatest Common Factor of Numerators i.e. GCF of 900,3684 is 12 .

LCM of Denominators means LCM of 22,402 as per the given fractions.

LCM of 22,402 is 4422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 900,3684

GCF of Fractions 900/22,3684/402 is 12/4422

2 900, 3684
2 450, 1842
3 225, 921
75, 307

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 900,3684 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,3684 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

Greatest Common Factor

We found the factors 900,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 900,3684 is 12.

Lets's calculate LCM of 22,402

2 22, 402
11, 201

∴ So the LCM of the given numbers is 2 x 11 x 201 = 4422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4422

Therefore, the GCF of Fractions 900/22,3684/402 is 12/4422

Least Common Multiple of 22,402 with GCF Formula

Least Common Multiple of 22,402 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 22,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,402) = 2

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

GCF(22,402) x common factors =2 x 1 = 2

LCM(22,402) = ( 22 × 402 ) / 2

LCM(22,402) = 8844 / 2

LCM(22,402) = 4422


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 900/22, 3684/402

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 900/22, 3684/402?

Answer: GCF of Numerators as per given numbers 900/22, 3684/402 is

GCF of Numerators i.e. for 900,3684 is 12

LCM of denominators i.e. for 22,402 is 4422.

Thus, GCF of Fractions is 12/4422.Finally, GCF of Fractions for 900/22, 3684/402 is 12/4422.