Greatest Common Factor of 79/17, 40/68, 10/54, 73/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/17, 40/68, 10/54, 73/225

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 79/17,40/68,10/54,73/225

Given fractions are 79/17,40/68,10/54,73/225

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 79,40,10,73

Greatest Common Factor of Numerators i.e. GCF of 79,40,10,73 is 1 .

LCM of Denominators means LCM of 17,68,54,225 as per the given fractions.

LCM of 17,68,54,225 is 45900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,40,10,73

GCF of Fractions 79/17,40/68,10/54,73/225 is 1/45900

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

Greatest Common Factor of 79,40,10,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,40,10,73 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 79,40,10,73 . The biggest common factor number is the GCF number.
So the greatest common factor 79,40,10,73 is 1.

Lets's calculate LCM of 17,68,54,225

2 17, 68, 54, 225
3 17, 34, 27, 225
3 17, 34, 9, 75
17 17, 34, 3, 25
1, 2, 3, 25

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 1 x 2 x 3 x 25 = 45900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45900

Therefore, the GCF of Fractions 79/17,40/68,10/54,73/225 is 1/45900

Least Common Multiple of 17,68,54,225 with GCF Formula

Least Common Multiple of 17,68,54,225 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 17,68,54,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,68,54,225) = 1

common factors(in case of two or more numbers have common factors) = 306

GCF(17,68,54,225) x common factors =1 x 306 = 306

LCM(17,68,54,225) = ( 17 × 68 × 54 × 225 ) / 306

LCM(17,68,54,225) = 14045400 / 306

LCM(17,68,54,225) = 45900


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 79/17, 40/68, 10/54, 73/225

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 79/17, 40/68, 10/54, 73/225?

Answer: GCF of Numerators as per given numbers 79/17, 40/68, 10/54, 73/225 is

GCF of Numerators i.e. for 79,40,10,73 is 1

LCM of denominators i.e. for 17,68,54,225 is 45900.

Thus, GCF of Fractions is 1/45900.Finally, GCF of Fractions for 79/17, 40/68, 10/54, 73/225 is 1/45900.