Greatest Common Factor of 8633/973, 8705/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8633/973, 8705/171

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 8633/973,8705/171

Given fractions are 8633/973,8705/171

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 8633,8705

Greatest Common Factor of Numerators i.e. GCF of 8633,8705 is 1 .

LCM of Denominators means LCM of 973,171 as per the given fractions.

LCM of 973,171 is 166383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8633,8705

GCF of Fractions 8633/973,8705/171 is 1/166383

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

Greatest Common Factor of 8633,8705 By Matching Biggest Common Factor Method

Greatest Common Factor of 8633,8705 By Matching Biggest Common Factor Method

Factors of 8633

List of positive integer factors of 8633 that divides 8633 without a remainder.

1,89,97,8633

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1,5,1741,8705

Greatest Common Factor

We found the factors 8633,8705 . The biggest common factor number is the GCF number.
So the greatest common factor 8633,8705 is 1.

Lets's calculate LCM of 973,171

Given numbers has no common factors except 1. So, there LCM is their product i.e 166383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166383

Therefore, the GCF of Fractions 8633/973,8705/171 is 1/166383

Least Common Multiple of 973,171 with GCF Formula

Least Common Multiple of 973,171 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 973,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,171) = 1

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

GCF(973,171) x common factors =1 x 1 = 1

LCM(973,171) = ( 973 × 171 ) / 1

LCM(973,171) = 166383 / 1

LCM(973,171) = 166383


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 8633/973, 8705/171

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 8633/973, 8705/171?

Answer: GCF of Numerators as per given numbers 8633/973, 8705/171 is

GCF of Numerators i.e. for 8633,8705 is 1

LCM of denominators i.e. for 973,171 is 166383.

Thus, GCF of Fractions is 1/166383.Finally, GCF of Fractions for 8633/973, 8705/171 is 1/166383.