Greatest Common Factor of 3096/177, 9817/1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3096/177, 9817/1362

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 3096/177,9817/1362

Given fractions are 3096/177,9817/1362

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 3096,9817

Greatest Common Factor of Numerators i.e. GCF of 3096,9817 is 1 .

LCM of Denominators means LCM of 177,1362 as per the given fractions.

LCM of 177,1362 is 80358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3096,9817

GCF of Fractions 3096/177,9817/1362 is 1/80358

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

Greatest Common Factor of 3096,9817 By Matching Biggest Common Factor Method

Greatest Common Factor of 3096,9817 By Matching Biggest Common Factor Method

Factors of 3096

List of positive integer factors of 3096 that divides 3096 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,43,72,86,129,172,258,344,387,516,774,1032,1548,3096

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1,9817

Greatest Common Factor

We found the factors 3096,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 3096,9817 is 1.

Lets's calculate LCM of 177,1362

3 177, 1362
59, 454

∴ So the LCM of the given numbers is 3 x 59 x 454 = 80358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80358

Therefore, the GCF of Fractions 3096/177,9817/1362 is 1/80358

Least Common Multiple of 177,1362 with GCF Formula

Least Common Multiple of 177,1362 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 177,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,1362) = 3

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

GCF(177,1362) x common factors =3 x 1 = 3

LCM(177,1362) = ( 177 × 1362 ) / 3

LCM(177,1362) = 241074 / 3

LCM(177,1362) = 80358


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 3096/177, 9817/1362

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 3096/177, 9817/1362?

Answer: GCF of Numerators as per given numbers 3096/177, 9817/1362 is

GCF of Numerators i.e. for 3096,9817 is 1

LCM of denominators i.e. for 177,1362 is 80358.

Thus, GCF of Fractions is 1/80358.Finally, GCF of Fractions for 3096/177, 9817/1362 is 1/80358.