Greatest Common Factor of 8649/694, 1197/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8649/694, 1197/857

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 8649/694,1197/857

Given fractions are 8649/694,1197/857

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 8649,1197

Greatest Common Factor of Numerators i.e. GCF of 8649,1197 is 9 .

LCM of Denominators means LCM of 694,857 as per the given fractions.

LCM of 694,857 is 594758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8649,1197

GCF of Fractions 8649/694,1197/857 is 9/594758

3 8649, 1197
3 2883, 399
961, 133

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8649,1197 By Matching Biggest Common Factor Method

Greatest Common Factor of 8649,1197 By Matching Biggest Common Factor Method

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1,3,7,9,19,21,57,63,133,171,399,1197

Greatest Common Factor

We found the factors 8649,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 8649,1197 is 9.

Lets's calculate LCM of 694,857

Given numbers has no common factors except 1. So, there LCM is their product i.e 594758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/594758

Therefore, the GCF of Fractions 8649/694,1197/857 is 9/594758

Least Common Multiple of 694,857 with GCF Formula

Least Common Multiple of 694,857 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 694,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,857) = 1

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

GCF(694,857) x common factors =1 x 1 = 1

LCM(694,857) = ( 694 × 857 ) / 1

LCM(694,857) = 594758 / 1

LCM(694,857) = 594758


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 8649/694, 1197/857

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 8649/694, 1197/857?

Answer: GCF of Numerators as per given numbers 8649/694, 1197/857 is

GCF of Numerators i.e. for 8649,1197 is 9

LCM of denominators i.e. for 694,857 is 594758.

Thus, GCF of Fractions is 9/594758.Finally, GCF of Fractions for 8649/694, 1197/857 is 9/594758.