Greatest Common Factor of 9679/177, 8603/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9679/177, 8603/366

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 9679/177,8603/366

Given fractions are 9679/177,8603/366

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 9679,8603

Greatest Common Factor of Numerators i.e. GCF of 9679,8603 is 1 .

LCM of Denominators means LCM of 177,366 as per the given fractions.

LCM of 177,366 is 21594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9679,8603

GCF of Fractions 9679/177,8603/366 is 1/21594

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

Greatest Common Factor of 9679,8603 By Matching Biggest Common Factor Method

Greatest Common Factor of 9679,8603 By Matching Biggest Common Factor Method

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1,9679

Factors of 8603

List of positive integer factors of 8603 that divides 8603 without a remainder.

1,7,1229,8603

Greatest Common Factor

We found the factors 9679,8603 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,8603 is 1.

Lets's calculate LCM of 177,366

3 177, 366
59, 122

∴ So the LCM of the given numbers is 3 x 59 x 122 = 21594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21594

Therefore, the GCF of Fractions 9679/177,8603/366 is 1/21594

Least Common Multiple of 177,366 with GCF Formula

Least Common Multiple of 177,366 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 177,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,366) = 3

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

GCF(177,366) x common factors =3 x 1 = 3

LCM(177,366) = ( 177 × 366 ) / 3

LCM(177,366) = 64782 / 3

LCM(177,366) = 21594


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 9679/177, 8603/366

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 9679/177, 8603/366?

Answer: GCF of Numerators as per given numbers 9679/177, 8603/366 is

GCF of Numerators i.e. for 9679,8603 is 1

LCM of denominators i.e. for 177,366 is 21594.

Thus, GCF of Fractions is 1/21594.Finally, GCF of Fractions for 9679/177, 8603/366 is 1/21594.