Greatest Common Factor of 3468/26, 8049/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3468/26, 8049/171

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 3468/26,8049/171

Given fractions are 3468/26,8049/171

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 3468,8049

Greatest Common Factor of Numerators i.e. GCF of 3468,8049 is 3 .

LCM of Denominators means LCM of 26,171 as per the given fractions.

LCM of 26,171 is 4446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3468,8049

GCF of Fractions 3468/26,8049/171 is 3/4446

3 3468, 8049
1156, 2683

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

Greatest Common Factor of 3468,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 3468,8049 By Matching Biggest Common Factor Method

Factors of 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 3468,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,8049 is 3.

Lets's calculate LCM of 26,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 4446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4446

Therefore, the GCF of Fractions 3468/26,8049/171 is 3/4446

Least Common Multiple of 26,171 with GCF Formula

Least Common Multiple of 26,171 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 26,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,171) = 1

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

GCF(26,171) x common factors =1 x 1 = 1

LCM(26,171) = ( 26 × 171 ) / 1

LCM(26,171) = 4446 / 1

LCM(26,171) = 4446


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 3468/26, 8049/171

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 3468/26, 8049/171?

Answer: GCF of Numerators as per given numbers 3468/26, 8049/171 is

GCF of Numerators i.e. for 3468,8049 is 3

LCM of denominators i.e. for 26,171 is 4446.

Thus, GCF of Fractions is 3/4446.Finally, GCF of Fractions for 3468/26, 8049/171 is 3/4446.