Greatest Common Factor of 162/820, 1188/1915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/820, 1188/1915

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 162/820,1188/1915

Given fractions are 162/820,1188/1915

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 162,1188

Greatest Common Factor of Numerators i.e. GCF of 162,1188 is 54 .

LCM of Denominators means LCM of 820,1915 as per the given fractions.

LCM of 820,1915 is 314060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,1188

GCF of Fractions 162/820,1188/1915 is 54/314060

2 162, 1188
3 81, 594
3 27, 198
3 9, 66
3, 22

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Greatest Common Factor of 162,1188 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,1188 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 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188

Greatest Common Factor

We found the factors 162,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 162,1188 is 54.

Lets's calculate LCM of 820,1915

5 820, 1915
164, 383

∴ So the LCM of the given numbers is 5 x 164 x 383 = 314060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/314060

Therefore, the GCF of Fractions 162/820,1188/1915 is 54/314060

Least Common Multiple of 820,1915 with GCF Formula

Least Common Multiple of 820,1915 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 820,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,1915) = 5

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

GCF(820,1915) x common factors =5 x 1 = 5

LCM(820,1915) = ( 820 × 1915 ) / 5

LCM(820,1915) = 1570300 / 5

LCM(820,1915) = 314060


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 162/820, 1188/1915

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 162/820, 1188/1915?

Answer: GCF of Numerators as per given numbers 162/820, 1188/1915 is

GCF of Numerators i.e. for 162,1188 is 54

LCM of denominators i.e. for 820,1915 is 314060.

Thus, GCF of Fractions is 54/314060.Finally, GCF of Fractions for 162/820, 1188/1915 is 54/314060.