Greatest Common Factor of 9687/866, 4797/4890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9687/866, 4797/4890

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 9687/866,4797/4890

Given fractions are 9687/866,4797/4890

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 9687,4797

Greatest Common Factor of Numerators i.e. GCF of 9687,4797 is 3 .

LCM of Denominators means LCM of 866,4890 as per the given fractions.

LCM of 866,4890 is 2117370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9687,4797

GCF of Fractions 9687/866,4797/4890 is 3/2117370

3 9687, 4797
3229, 1599

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

Greatest Common Factor of 9687,4797 By Matching Biggest Common Factor Method

Greatest Common Factor of 9687,4797 By Matching Biggest Common Factor Method

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Greatest Common Factor

We found the factors 9687,4797 . The biggest common factor number is the GCF number.
So the greatest common factor 9687,4797 is 3.

Lets's calculate LCM of 866,4890

2 866, 4890
433, 2445

∴ So the LCM of the given numbers is 2 x 433 x 2445 = 2117370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2117370

Therefore, the GCF of Fractions 9687/866,4797/4890 is 3/2117370

Least Common Multiple of 866,4890 with GCF Formula

Least Common Multiple of 866,4890 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 866,4890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,4890) = 2

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

GCF(866,4890) x common factors =2 x 1 = 2

LCM(866,4890) = ( 866 × 4890 ) / 2

LCM(866,4890) = 4234740 / 2

LCM(866,4890) = 2117370


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 9687/866, 4797/4890

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 9687/866, 4797/4890?

Answer: GCF of Numerators as per given numbers 9687/866, 4797/4890 is

GCF of Numerators i.e. for 9687,4797 is 3

LCM of denominators i.e. for 866,4890 is 2117370.

Thus, GCF of Fractions is 3/2117370.Finally, GCF of Fractions for 9687/866, 4797/4890 is 3/2117370.