Greatest Common Factor of 1/82, 22/15, 90/378, 198/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/82, 22/15, 90/378, 198/480

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 1/82,22/15,90/378,198/480

Given fractions are 1/82,22/15,90/378,198/480

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 1,22,90,198

Greatest Common Factor of Numerators i.e. GCF of 1,22,90,198 is 1 .

LCM of Denominators means LCM of 82,15,378,480 as per the given fractions.

LCM of 82,15,378,480 is 1239840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,22,90,198

GCF of Fractions 1/82,22/15,90/378,198/480 is 1/1239840

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

Greatest Common Factor of 1,22,90,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,22,90,198 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 1,22,90,198 . The biggest common factor number is the GCF number.
So the greatest common factor 1,22,90,198 is 1.

Lets's calculate LCM of 82,15,378,480

2 82, 15, 378, 480
3 41, 15, 189, 240
5 41, 5, 63, 80
41, 1, 63, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 1 x 63 x 16 = 1239840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1239840

Therefore, the GCF of Fractions 1/82,22/15,90/378,198/480 is 1/1239840

Least Common Multiple of 82,15,378,480 with GCF Formula

Least Common Multiple of 82,15,378,480 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 82,15,378,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,15,378,480) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(82,15,378,480) x common factors =1 x 180 = 180

LCM(82,15,378,480) = ( 82 × 15 × 378 × 480 ) / 180

LCM(82,15,378,480) = 223171200 / 180

LCM(82,15,378,480) = 1239840


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 1/82, 22/15, 90/378, 198/480

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 1/82, 22/15, 90/378, 198/480?

Answer: GCF of Numerators as per given numbers 1/82, 22/15, 90/378, 198/480 is

GCF of Numerators i.e. for 1,22,90,198 is 1

LCM of denominators i.e. for 82,15,378,480 is 1239840.

Thus, GCF of Fractions is 1/1239840.Finally, GCF of Fractions for 1/82, 22/15, 90/378, 198/480 is 1/1239840.