Greatest Common Factor of 7/73, 22/52, 56/296, 842/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/73, 22/52, 56/296, 842/494

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 7/73,22/52,56/296,842/494

Given fractions are 7/73,22/52,56/296,842/494

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 7,22,56,842

Greatest Common Factor of Numerators i.e. GCF of 7,22,56,842 is 1 .

LCM of Denominators means LCM of 73,52,296,494 as per the given fractions.

LCM of 73,52,296,494 is 5337176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,22,56,842

GCF of Fractions 7/73,22/52,56/296,842/494 is 1/5337176

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

Greatest Common Factor of 7,22,56,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,22,56,842 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 22

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

1,2,11,22

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

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

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 7,22,56,842 . The biggest common factor number is the GCF number.
So the greatest common factor 7,22,56,842 is 1.

Lets's calculate LCM of 73,52,296,494

2 73, 52, 296, 494
2 73, 26, 148, 247
13 73, 13, 74, 247
73, 1, 74, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 73 x 1 x 74 x 19 = 5337176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5337176

Therefore, the GCF of Fractions 7/73,22/52,56/296,842/494 is 1/5337176

Least Common Multiple of 73,52,296,494 with GCF Formula

Least Common Multiple of 73,52,296,494 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 73,52,296,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,52,296,494) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(73,52,296,494) x common factors =1 x 104 = 104

LCM(73,52,296,494) = ( 73 × 52 × 296 × 494 ) / 104

LCM(73,52,296,494) = 555066304 / 104

LCM(73,52,296,494) = 5337176


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 7/73, 22/52, 56/296, 842/494

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 7/73, 22/52, 56/296, 842/494?

Answer: GCF of Numerators as per given numbers 7/73, 22/52, 56/296, 842/494 is

GCF of Numerators i.e. for 7,22,56,842 is 1

LCM of denominators i.e. for 73,52,296,494 is 5337176.

Thus, GCF of Fractions is 1/5337176.Finally, GCF of Fractions for 7/73, 22/52, 56/296, 842/494 is 1/5337176.