Greatest Common Factor of 7/68, 22/43, 82/201, 338/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/68, 22/43, 82/201, 338/192

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 7/68,22/43,82/201,338/192

Given fractions are 7/68,22/43,82/201,338/192

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 7,22,82,338

Greatest Common Factor of Numerators i.e. GCF of 7,22,82,338 is 1 .

LCM of Denominators means LCM of 68,43,201,192 as per the given fractions.

LCM of 68,43,201,192 is 9403584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,22,82,338

GCF of Fractions 7/68,22/43,82/201,338/192 is 1/9403584

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

Greatest Common Factor of 7,22,82,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,22,82,338 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 22

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

1,2,11,22

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 7,22,82,338 . The biggest common factor number is the GCF number.
So the greatest common factor 7,22,82,338 is 1.

Lets's calculate LCM of 68,43,201,192

2 68, 43, 201, 192
2 34, 43, 201, 96
3 17, 43, 201, 48
17, 43, 67, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 43 x 67 x 16 = 9403584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9403584

Therefore, the GCF of Fractions 7/68,22/43,82/201,338/192 is 1/9403584

Least Common Multiple of 68,43,201,192 with GCF Formula

Least Common Multiple of 68,43,201,192 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 68,43,201,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,43,201,192) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(68,43,201,192) x common factors =1 x 12 = 12

LCM(68,43,201,192) = ( 68 × 43 × 201 × 192 ) / 12

LCM(68,43,201,192) = 112843008 / 12

LCM(68,43,201,192) = 9403584


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 7/68, 22/43, 82/201, 338/192

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 7/68, 22/43, 82/201, 338/192?

Answer: GCF of Numerators as per given numbers 7/68, 22/43, 82/201, 338/192 is

GCF of Numerators i.e. for 7,22,82,338 is 1

LCM of denominators i.e. for 68,43,201,192 is 9403584.

Thus, GCF of Fractions is 1/9403584.Finally, GCF of Fractions for 7/68, 22/43, 82/201, 338/192 is 1/9403584.