Greatest Common Factor of 3234/534, 8193/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3234/534, 8193/154

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 3234/534,8193/154

Given fractions are 3234/534,8193/154

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 3234,8193

Greatest Common Factor of Numerators i.e. GCF of 3234,8193 is 3 .

LCM of Denominators means LCM of 534,154 as per the given fractions.

LCM of 534,154 is 41118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3234,8193

GCF of Fractions 3234/534,8193/154 is 3/41118

3 3234, 8193
1078, 2731

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3234,8193 By Matching Biggest Common Factor Method

Greatest Common Factor of 3234,8193 By Matching Biggest Common Factor Method

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Factors of 8193

List of positive integer factors of 8193 that divides 8193 without a remainder.

1,3,2731,8193

Greatest Common Factor

We found the factors 3234,8193 . The biggest common factor number is the GCF number.
So the greatest common factor 3234,8193 is 3.

Lets's calculate LCM of 534,154

2 534, 154
267, 77

∴ So the LCM of the given numbers is 2 x 267 x 77 = 41118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41118

Therefore, the GCF of Fractions 3234/534,8193/154 is 3/41118

Least Common Multiple of 534,154 with GCF Formula

Least Common Multiple of 534,154 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 534,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,154) = 2

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

GCF(534,154) x common factors =2 x 1 = 2

LCM(534,154) = ( 534 × 154 ) / 2

LCM(534,154) = 82236 / 2

LCM(534,154) = 41118


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 3234/534, 8193/154

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 3234/534, 8193/154?

Answer: GCF of Numerators as per given numbers 3234/534, 8193/154 is

GCF of Numerators i.e. for 3234,8193 is 3

LCM of denominators i.e. for 534,154 is 41118.

Thus, GCF of Fractions is 3/41118.Finally, GCF of Fractions for 3234/534, 8193/154 is 3/41118.