Greatest Common Factor of 326/14, 182/1194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/14, 182/1194

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 326/14,182/1194

Given fractions are 326/14,182/1194

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 326,182

Greatest Common Factor of Numerators i.e. GCF of 326,182 is 2 .

LCM of Denominators means LCM of 14,1194 as per the given fractions.

LCM of 14,1194 is 8358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,182

GCF of Fractions 326/14,182/1194 is 2/8358

2 326, 182
163, 91

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

Greatest Common Factor of 326,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,182 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 182

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

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

Greatest Common Factor

We found the factors 326,182 . The biggest common factor number is the GCF number.
So the greatest common factor 326,182 is 2.

Lets's calculate LCM of 14,1194

2 14, 1194
7, 597

∴ So the LCM of the given numbers is 2 x 7 x 597 = 8358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8358

Therefore, the GCF of Fractions 326/14,182/1194 is 2/8358

Least Common Multiple of 14,1194 with GCF Formula

Least Common Multiple of 14,1194 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 14,1194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1194) = 2

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

GCF(14,1194) x common factors =2 x 1 = 2

LCM(14,1194) = ( 14 × 1194 ) / 2

LCM(14,1194) = 16716 / 2

LCM(14,1194) = 8358


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 326/14, 182/1194

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 326/14, 182/1194?

Answer: GCF of Numerators as per given numbers 326/14, 182/1194 is

GCF of Numerators i.e. for 326,182 is 2

LCM of denominators i.e. for 14,1194 is 8358.

Thus, GCF of Fractions is 2/8358.Finally, GCF of Fractions for 326/14, 182/1194 is 2/8358.