Greatest Common Factor of 73/55, 22/14, 112/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/55, 22/14, 112/786

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 73/55,22/14,112/786

Given fractions are 73/55,22/14,112/786

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 73,22,112

Greatest Common Factor of Numerators i.e. GCF of 73,22,112 is 1 .

LCM of Denominators means LCM of 55,14,786 as per the given fractions.

LCM of 55,14,786 is 302610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,22,112

GCF of Fractions 73/55,22/14,112/786 is 1/302610

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

Greatest Common Factor of 73,22,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,22,112 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 22

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

1,2,11,22

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 73,22,112 . The biggest common factor number is the GCF number.
So the greatest common factor 73,22,112 is 1.

Lets's calculate LCM of 55,14,786

2 55, 14, 786
55, 7, 393

∴ So the LCM of the given numbers is 2 x 55 x 7 x 393 = 302610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302610

Therefore, the GCF of Fractions 73/55,22/14,112/786 is 1/302610

Least Common Multiple of 55,14,786 with GCF Formula

Least Common Multiple of 55,14,786 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 55,14,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,14,786) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,14,786) x common factors =1 x 2 = 2

LCM(55,14,786) = ( 55 × 14 × 786 ) / 2

LCM(55,14,786) = 605220 / 2

LCM(55,14,786) = 302610


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 73/55, 22/14, 112/786

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 73/55, 22/14, 112/786?

Answer: GCF of Numerators as per given numbers 73/55, 22/14, 112/786 is

GCF of Numerators i.e. for 73,22,112 is 1

LCM of denominators i.e. for 55,14,786 is 302610.

Thus, GCF of Fractions is 1/302610.Finally, GCF of Fractions for 73/55, 22/14, 112/786 is 1/302610.