Greatest Common Factor of 182/12, 248/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/12, 248/239

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 182/12,248/239

Given fractions are 182/12,248/239

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 182,248

Greatest Common Factor of Numerators i.e. GCF of 182,248 is 2 .

LCM of Denominators means LCM of 12,239 as per the given fractions.

LCM of 12,239 is 2868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,248

GCF of Fractions 182/12,248/239 is 2/2868

2 182, 248
91, 124

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 182,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,248 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 182,248 . The biggest common factor number is the GCF number.
So the greatest common factor 182,248 is 2.

Lets's calculate LCM of 12,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 2868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2868

Therefore, the GCF of Fractions 182/12,248/239 is 2/2868

Least Common Multiple of 12,239 with GCF Formula

Least Common Multiple of 12,239 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 12,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,239) = 1

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

GCF(12,239) x common factors =1 x 1 = 1

LCM(12,239) = ( 12 × 239 ) / 1

LCM(12,239) = 2868 / 1

LCM(12,239) = 2868


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 182/12, 248/239

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 182/12, 248/239?

Answer: GCF of Numerators as per given numbers 182/12, 248/239 is

GCF of Numerators i.e. for 182,248 is 2

LCM of denominators i.e. for 12,239 is 2868.

Thus, GCF of Fractions is 2/2868.Finally, GCF of Fractions for 182/12, 248/239 is 2/2868.