Greatest Common Factor of 2817/24, 4107/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2817/24, 4107/197

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 2817/24,4107/197

Given fractions are 2817/24,4107/197

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 2817,4107

Greatest Common Factor of Numerators i.e. GCF of 2817,4107 is 3 .

LCM of Denominators means LCM of 24,197 as per the given fractions.

LCM of 24,197 is 4728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2817,4107

GCF of Fractions 2817/24,4107/197 is 3/4728

3 2817, 4107
939, 1369

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

Greatest Common Factor of 2817,4107 By Matching Biggest Common Factor Method

Greatest Common Factor of 2817,4107 By Matching Biggest Common Factor Method

Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1,3,9,313,939,2817

Factors of 4107

List of positive integer factors of 4107 that divides 4107 without a remainder.

1,3,37,111,1369,4107

Greatest Common Factor

We found the factors 2817,4107 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,4107 is 3.

Lets's calculate LCM of 24,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 4728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4728

Therefore, the GCF of Fractions 2817/24,4107/197 is 3/4728

Least Common Multiple of 24,197 with GCF Formula

Least Common Multiple of 24,197 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 24,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,197) = 1

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

GCF(24,197) x common factors =1 x 1 = 1

LCM(24,197) = ( 24 × 197 ) / 1

LCM(24,197) = 4728 / 1

LCM(24,197) = 4728


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 2817/24, 4107/197

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 2817/24, 4107/197?

Answer: GCF of Numerators as per given numbers 2817/24, 4107/197 is

GCF of Numerators i.e. for 2817,4107 is 3

LCM of denominators i.e. for 24,197 is 4728.

Thus, GCF of Fractions is 3/4728.Finally, GCF of Fractions for 2817/24, 4107/197 is 3/4728.