Greatest Common Factor of 9669/138, 2446/8136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9669/138, 2446/8136

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 9669/138,2446/8136

Given fractions are 9669/138,2446/8136

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 9669,2446

Greatest Common Factor of Numerators i.e. GCF of 9669,2446 is 1 .

LCM of Denominators means LCM of 138,8136 as per the given fractions.

LCM of 138,8136 is 187128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9669,2446

GCF of Fractions 9669/138,2446/8136 is 1/187128

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

Greatest Common Factor of 9669,2446 By Matching Biggest Common Factor Method

Greatest Common Factor of 9669,2446 By Matching Biggest Common Factor Method

Factors of 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1,3,11,33,293,879,3223,9669

Factors of 2446

List of positive integer factors of 2446 that divides 2446 without a remainder.

1,2,1223,2446

Greatest Common Factor

We found the factors 9669,2446 . The biggest common factor number is the GCF number.
So the greatest common factor 9669,2446 is 1.

Lets's calculate LCM of 138,8136

2 138, 8136
3 69, 4068
23, 1356

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1356 = 187128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187128

Therefore, the GCF of Fractions 9669/138,2446/8136 is 1/187128

Least Common Multiple of 138,8136 with GCF Formula

Least Common Multiple of 138,8136 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 138,8136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,8136) = 6

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

GCF(138,8136) x common factors =6 x 1 = 6

LCM(138,8136) = ( 138 × 8136 ) / 6

LCM(138,8136) = 1122768 / 6

LCM(138,8136) = 187128


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 9669/138, 2446/8136

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 9669/138, 2446/8136?

Answer: GCF of Numerators as per given numbers 9669/138, 2446/8136 is

GCF of Numerators i.e. for 9669,2446 is 1

LCM of denominators i.e. for 138,8136 is 187128.

Thus, GCF of Fractions is 1/187128.Finally, GCF of Fractions for 9669/138, 2446/8136 is 1/187128.