Greatest Common Factor of 3324/94, 8162/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3324/94, 8162/386

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 3324/94,8162/386

Given fractions are 3324/94,8162/386

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 3324,8162

Greatest Common Factor of Numerators i.e. GCF of 3324,8162 is 2 .

LCM of Denominators means LCM of 94,386 as per the given fractions.

LCM of 94,386 is 18142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3324,8162

GCF of Fractions 3324/94,8162/386 is 2/18142

2 3324, 8162
1662, 4081

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

Greatest Common Factor of 3324,8162 By Matching Biggest Common Factor Method

Greatest Common Factor of 3324,8162 By Matching Biggest Common Factor Method

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1,2,3,4,6,12,277,554,831,1108,1662,3324

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

Greatest Common Factor

We found the factors 3324,8162 . The biggest common factor number is the GCF number.
So the greatest common factor 3324,8162 is 2.

Lets's calculate LCM of 94,386

2 94, 386
47, 193

∴ So the LCM of the given numbers is 2 x 47 x 193 = 18142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18142

Therefore, the GCF of Fractions 3324/94,8162/386 is 2/18142

Least Common Multiple of 94,386 with GCF Formula

Least Common Multiple of 94,386 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 94,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,386) = 2

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

GCF(94,386) x common factors =2 x 1 = 2

LCM(94,386) = ( 94 × 386 ) / 2

LCM(94,386) = 36284 / 2

LCM(94,386) = 18142


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 3324/94, 8162/386

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 3324/94, 8162/386?

Answer: GCF of Numerators as per given numbers 3324/94, 8162/386 is

GCF of Numerators i.e. for 3324,8162 is 2

LCM of denominators i.e. for 94,386 is 18142.

Thus, GCF of Fractions is 2/18142.Finally, GCF of Fractions for 3324/94, 8162/386 is 2/18142.