Greatest Common Factor of 481/22, 296/1178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/22, 296/1178

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 481/22,296/1178

Given fractions are 481/22,296/1178

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 481,296

Greatest Common Factor of Numerators i.e. GCF of 481,296 is 37 .

LCM of Denominators means LCM of 22,1178 as per the given fractions.

LCM of 22,1178 is 12958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,296

GCF of Fractions 481/22,296/1178 is 37/12958

37 481, 296
13, 8

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 481,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,296 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 481,296 . The biggest common factor number is the GCF number.
So the greatest common factor 481,296 is 37.

Lets's calculate LCM of 22,1178

2 22, 1178
11, 589

∴ So the LCM of the given numbers is 2 x 11 x 589 = 12958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/12958

Therefore, the GCF of Fractions 481/22,296/1178 is 37/12958

Least Common Multiple of 22,1178 with GCF Formula

Least Common Multiple of 22,1178 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 22,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,1178) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(22,1178) x common factors =2 x 1 = 2

LCM(22,1178) = ( 22 × 1178 ) / 2

LCM(22,1178) = 25916 / 2

LCM(22,1178) = 12958


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 481/22, 296/1178

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 481/22, 296/1178?

Answer: GCF of Numerators as per given numbers 481/22, 296/1178 is

GCF of Numerators i.e. for 481,296 is 37

LCM of denominators i.e. for 22,1178 is 12958.

Thus, GCF of Fractions is 37/12958.Finally, GCF of Fractions for 481/22, 296/1178 is 37/12958.