Greatest Common Factor of 162/52, 650/65, 100/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/52, 650/65, 100/36

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 162/52,650/65,100/36

Given fractions are 162/52,650/65,100/36

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 162,650,100

Greatest Common Factor of Numerators i.e. GCF of 162,650,100 is 2 .

LCM of Denominators means LCM of 52,65,36 as per the given fractions.

LCM of 52,65,36 is 2340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,650,100

GCF of Fractions 162/52,650/65,100/36 is 2/2340

2 162, 650, 100
81, 325, 50

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

Greatest Common Factor of 162,650,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,650,100 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 162,650,100 . The biggest common factor number is the GCF number.
So the greatest common factor 162,650,100 is 2.

Lets's calculate LCM of 52,65,36

2 52, 65, 36
2 26, 65, 18
13 13, 65, 9
1, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 5 x 9 = 2340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2340

Therefore, the GCF of Fractions 162/52,650/65,100/36 is 2/2340

Least Common Multiple of 52,65,36 with GCF Formula

Least Common Multiple of 52,65,36 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 52,65,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,65,36) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,65,36) x common factors =1 x 52 = 52

LCM(52,65,36) = ( 52 × 65 × 36 ) / 52

LCM(52,65,36) = 121680 / 52

LCM(52,65,36) = 2340


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 162/52, 650/65, 100/36

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 162/52, 650/65, 100/36?

Answer: GCF of Numerators as per given numbers 162/52, 650/65, 100/36 is

GCF of Numerators i.e. for 162,650,100 is 2

LCM of denominators i.e. for 52,65,36 is 2340.

Thus, GCF of Fractions is 2/2340.Finally, GCF of Fractions for 162/52, 650/65, 100/36 is 2/2340.