Greatest Common Factor of 15/22, 73/99, 43/56, 34/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 15/22, 73/99, 43/56, 34/742

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 15/22,73/99,43/56,34/742

Given fractions are 15/22,73/99,43/56,34/742

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 15,73,43,34

Greatest Common Factor of Numerators i.e. GCF of 15,73,43,34 is 1 .

LCM of Denominators means LCM of 22,99,56,742 as per the given fractions.

LCM of 22,99,56,742 is 293832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,73,43,34

GCF of Fractions 15/22,73/99,43/56,34/742 is 1/293832

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

Greatest Common Factor of 15,73,43,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,73,43,34 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 73

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

1,73

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 34

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

1,2,17,34

Greatest Common Factor

We found the factors 15,73,43,34 . The biggest common factor number is the GCF number.
So the greatest common factor 15,73,43,34 is 1.


Lets's calculate LCM of 22,99,56,742

2 22, 99, 56, 742
7 11, 99, 28, 371
11 11, 99, 4, 53
1, 9, 4, 53

∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 9 x 4 x 53 = 293832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293832

Therefore, the GCF of Fractions 15/22,73/99,43/56,34/742 is 1/293832

Least Common Multiple of 22,99,56,742 with GCF Formula

Least Common Multiple of 22,99,56,742 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 22,99,56,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,99,56,742) = 1

common factors(in case of two or more numbers have common factors) = 308

GCF(22,99,56,742) x common factors =1 x 308 = 308

LCM(22,99,56,742) = ( 22 × 99 × 56 × 742 ) / 308

LCM(22,99,56,742) = 90500256 / 308

LCM(22,99,56,742) = 293832


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 15/22, 73/99, 43/56, 34/742

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 15/22, 73/99, 43/56, 34/742?

Answer: GCF of Numerators as per given numbers 15/22, 73/99, 43/56, 34/742 is

GCF of Numerators i.e. for 15,73,43,34 is 1

LCM of denominators i.e. for 22,99,56,742 is 293832.

Thus, GCF of Fractions is 1/293832.Finally, GCF of Fractions for 15/22, 73/99, 43/56, 34/742 is 1/293832.