Greatest Common Factor of 5/66, 34/99, 28/812, 272/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/66, 34/99, 28/812, 272/339

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 5/66,34/99,28/812,272/339

Given fractions are 5/66,34/99,28/812,272/339

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 5,34,28,272

Greatest Common Factor of Numerators i.e. GCF of 5,34,28,272 is 1 .

LCM of Denominators means LCM of 66,99,812,339 as per the given fractions.

LCM of 66,99,812,339 is 9083844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,34,28,272

GCF of Fractions 5/66,34/99,28/812,272/339 is 1/9083844

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

Greatest Common Factor of 5,34,28,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,34,28,272 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 5,34,28,272 . The biggest common factor number is the GCF number.
So the greatest common factor 5,34,28,272 is 1.

Lets's calculate LCM of 66,99,812,339

2 66, 99, 812, 339
3 33, 99, 406, 339
11 11, 33, 406, 113
1, 3, 406, 113

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 3 x 406 x 113 = 9083844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9083844

Therefore, the GCF of Fractions 5/66,34/99,28/812,272/339 is 1/9083844

Least Common Multiple of 66,99,812,339 with GCF Formula

Least Common Multiple of 66,99,812,339 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 66,99,812,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,99,812,339) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(66,99,812,339) x common factors =1 x 198 = 198

LCM(66,99,812,339) = ( 66 × 99 × 812 × 339 ) / 198

LCM(66,99,812,339) = 1798601112 / 198

LCM(66,99,812,339) = 9083844


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 5/66, 34/99, 28/812, 272/339

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 5/66, 34/99, 28/812, 272/339?

Answer: GCF of Numerators as per given numbers 5/66, 34/99, 28/812, 272/339 is

GCF of Numerators i.e. for 5,34,28,272 is 1

LCM of denominators i.e. for 66,99,812,339 is 9083844.

Thus, GCF of Fractions is 1/9083844.Finally, GCF of Fractions for 5/66, 34/99, 28/812, 272/339 is 1/9083844.