Greatest Common Factor of 9786/884, 8610/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9786/884, 8610/136

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 9786/884,8610/136

Given fractions are 9786/884,8610/136

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 9786,8610

Greatest Common Factor of Numerators i.e. GCF of 9786,8610 is 42 .

LCM of Denominators means LCM of 884,136 as per the given fractions.

LCM of 884,136 is 1768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9786,8610

GCF of Fractions 9786/884,8610/136 is 42/1768

2 9786, 8610
3 4893, 4305
7 1631, 1435
233, 205

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 9786,8610 By Matching Biggest Common Factor Method

Greatest Common Factor of 9786,8610 By Matching Biggest Common Factor Method

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610

Greatest Common Factor

We found the factors 9786,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 9786,8610 is 42.

Lets's calculate LCM of 884,136

2 884, 136
2 442, 68
17 221, 34
13, 2

∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 2 = 1768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1768

Therefore, the GCF of Fractions 9786/884,8610/136 is 42/1768

Least Common Multiple of 884,136 with GCF Formula

Least Common Multiple of 884,136 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 884,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,136) = 68

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

GCF(884,136) x common factors =68 x 1 = 68

LCM(884,136) = ( 884 × 136 ) / 68

LCM(884,136) = 120224 / 68

LCM(884,136) = 1768


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 9786/884, 8610/136

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 9786/884, 8610/136?

Answer: GCF of Numerators as per given numbers 9786/884, 8610/136 is

GCF of Numerators i.e. for 9786,8610 is 42

LCM of denominators i.e. for 884,136 is 1768.

Thus, GCF of Fractions is 42/1768.Finally, GCF of Fractions for 9786/884, 8610/136 is 42/1768.