Greatest Common Factor of 8452/171, 6403/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8452/171, 6403/183

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 8452/171,6403/183

Given fractions are 8452/171,6403/183

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 8452,6403

Greatest Common Factor of Numerators i.e. GCF of 8452,6403 is 1 .

LCM of Denominators means LCM of 171,183 as per the given fractions.

LCM of 171,183 is 10431 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8452,6403

GCF of Fractions 8452/171,6403/183 is 1/10431

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8452,6403 By Matching Biggest Common Factor Method

Greatest Common Factor of 8452,6403 By Matching Biggest Common Factor Method

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

Factors of 6403

List of positive integer factors of 6403 that divides 6403 without a remainder.

1,19,337,6403

Greatest Common Factor

We found the factors 8452,6403 . The biggest common factor number is the GCF number.
So the greatest common factor 8452,6403 is 1.

Lets's calculate LCM of 171,183

3 171, 183
57, 61

∴ So the LCM of the given numbers is 3 x 57 x 61 = 10431

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10431

Therefore, the GCF of Fractions 8452/171,6403/183 is 1/10431

Least Common Multiple of 171,183 with GCF Formula

Least Common Multiple of 171,183 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 171,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,183) = 3

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

GCF(171,183) x common factors =3 x 1 = 3

LCM(171,183) = ( 171 × 183 ) / 3

LCM(171,183) = 31293 / 3

LCM(171,183) = 10431


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 8452/171, 6403/183

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 8452/171, 6403/183?

Answer: GCF of Numerators as per given numbers 8452/171, 6403/183 is

GCF of Numerators i.e. for 8452,6403 is 1

LCM of denominators i.e. for 171,183 is 10431.

Thus, GCF of Fractions is 1/10431.Finally, GCF of Fractions for 8452/171, 6403/183 is 1/10431.