Greatest Common Factor of 8369/969, 2893/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8369/969, 2893/177

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 8369/969,2893/177

Given fractions are 8369/969,2893/177

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 8369,2893

Greatest Common Factor of Numerators i.e. GCF of 8369,2893 is 1 .

LCM of Denominators means LCM of 969,177 as per the given fractions.

LCM of 969,177 is 57171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8369,2893

GCF of Fractions 8369/969,2893/177 is 1/57171

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

Greatest Common Factor of 8369,2893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8369,2893 By Matching Biggest Common Factor Method

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1,8369

Factors of 2893

List of positive integer factors of 2893 that divides 2893 without a remainder.

1,11,263,2893

Greatest Common Factor

We found the factors 8369,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 8369,2893 is 1.

Lets's calculate LCM of 969,177

3 969, 177
323, 59

∴ So the LCM of the given numbers is 3 x 323 x 59 = 57171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57171

Therefore, the GCF of Fractions 8369/969,2893/177 is 1/57171

Least Common Multiple of 969,177 with GCF Formula

Least Common Multiple of 969,177 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 969,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,177) = 3

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

GCF(969,177) x common factors =3 x 1 = 3

LCM(969,177) = ( 969 × 177 ) / 3

LCM(969,177) = 171513 / 3

LCM(969,177) = 57171


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 8369/969, 2893/177

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 8369/969, 2893/177?

Answer: GCF of Numerators as per given numbers 8369/969, 2893/177 is

GCF of Numerators i.e. for 8369,2893 is 1

LCM of denominators i.e. for 969,177 is 57171.

Thus, GCF of Fractions is 1/57171.Finally, GCF of Fractions for 8369/969, 2893/177 is 1/57171.