Greatest Common Factor of 105/55, 371/69, 272/93

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 105/55, 371/69, 272/93

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 105/55,371/69,272/93

Given fractions are 105/55,371/69,272/93

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 105,371,272

Greatest Common Factor of Numerators i.e. GCF of 105,371,272 is 1 .

LCM of Denominators means LCM of 55,69,93 as per the given fractions.

LCM of 55,69,93 is 117645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 105,371,272

GCF of Fractions 105/55,371/69,272/93 is 1/117645

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

Greatest Common Factor of 105,371,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,371,272 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

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 105,371,272 . The biggest common factor number is the GCF number.
So the greatest common factor 105,371,272 is 1.

Lets's calculate LCM of 55,69,93

3 55, 69, 93
55, 23, 31

∴ So the LCM of the given numbers is 3 x 55 x 23 x 31 = 117645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117645

Therefore, the GCF of Fractions 105/55,371/69,272/93 is 1/117645

Least Common Multiple of 55,69,93 with GCF Formula

Least Common Multiple of 55,69,93 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 55,69,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,69,93) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(55,69,93) x common factors =1 x 3 = 3

LCM(55,69,93) = ( 55 × 69 × 93 ) / 3

LCM(55,69,93) = 352935 / 3

LCM(55,69,93) = 117645


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 105/55, 371/69, 272/93

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 105/55, 371/69, 272/93?

Answer: GCF of Numerators as per given numbers 105/55, 371/69, 272/93 is

GCF of Numerators i.e. for 105,371,272 is 1

LCM of denominators i.e. for 55,69,93 is 117645.

Thus, GCF of Fractions is 1/117645.Finally, GCF of Fractions for 105/55, 371/69, 272/93 is 1/117645.