Greatest Common Factor of 4481/156, 7186/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4481/156, 7186/184

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 4481/156,7186/184

Given fractions are 4481/156,7186/184

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 4481,7186

Greatest Common Factor of Numerators i.e. GCF of 4481,7186 is 1 .

LCM of Denominators means LCM of 156,184 as per the given fractions.

LCM of 156,184 is 7176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4481,7186

GCF of Fractions 4481/156,7186/184 is 1/7176

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

Greatest Common Factor of 4481,7186 By Matching Biggest Common Factor Method

Greatest Common Factor of 4481,7186 By Matching Biggest Common Factor Method

Factors of 4481

List of positive integer factors of 4481 that divides 4481 without a remainder.

1,4481

Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1,2,3593,7186

Greatest Common Factor

We found the factors 4481,7186 . The biggest common factor number is the GCF number.
So the greatest common factor 4481,7186 is 1.

Lets's calculate LCM of 156,184

2 156, 184
2 78, 92
39, 46

∴ So the LCM of the given numbers is 2 x 2 x 39 x 46 = 7176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7176

Therefore, the GCF of Fractions 4481/156,7186/184 is 1/7176

Least Common Multiple of 156,184 with GCF Formula

Least Common Multiple of 156,184 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 156,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,184) = 4

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

GCF(156,184) x common factors =4 x 1 = 4

LCM(156,184) = ( 156 × 184 ) / 4

LCM(156,184) = 28704 / 4

LCM(156,184) = 7176


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 4481/156, 7186/184

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 4481/156, 7186/184?

Answer: GCF of Numerators as per given numbers 4481/156, 7186/184 is

GCF of Numerators i.e. for 4481,7186 is 1

LCM of denominators i.e. for 156,184 is 7176.

Thus, GCF of Fractions is 1/7176.Finally, GCF of Fractions for 4481/156, 7186/184 is 1/7176.