Greatest Common Factor of 114/82, 156/2224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 114/82, 156/2224

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 114/82,156/2224

Given fractions are 114/82,156/2224

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 114,156

Greatest Common Factor of Numerators i.e. GCF of 114,156 is 6 .

LCM of Denominators means LCM of 82,2224 as per the given fractions.

LCM of 82,2224 is 91184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 114,156

GCF of Fractions 114/82,156/2224 is 6/91184

2 114, 156
3 57, 78
19, 26

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 114,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,156 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 114,156 . The biggest common factor number is the GCF number.
So the greatest common factor 114,156 is 6.

Lets's calculate LCM of 82,2224

2 82, 2224
41, 1112

∴ So the LCM of the given numbers is 2 x 41 x 1112 = 91184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/91184

Therefore, the GCF of Fractions 114/82,156/2224 is 6/91184

Least Common Multiple of 82,2224 with GCF Formula

Least Common Multiple of 82,2224 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 82,2224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,2224) = 2

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

GCF(82,2224) x common factors =2 x 1 = 2

LCM(82,2224) = ( 82 × 2224 ) / 2

LCM(82,2224) = 182368 / 2

LCM(82,2224) = 91184


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 114/82, 156/2224

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 114/82, 156/2224?

Answer: GCF of Numerators as per given numbers 114/82, 156/2224 is

GCF of Numerators i.e. for 114,156 is 6

LCM of denominators i.e. for 82,2224 is 91184.

Thus, GCF of Fractions is 6/91184.Finally, GCF of Fractions for 114/82, 156/2224 is 6/91184.