Greatest Common Factor of 2817/48, 6045/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2817/48, 6045/257

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 2817/48,6045/257

Given fractions are 2817/48,6045/257

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 2817,6045

Greatest Common Factor of Numerators i.e. GCF of 2817,6045 is 3 .

LCM of Denominators means LCM of 48,257 as per the given fractions.

LCM of 48,257 is 12336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2817,6045

GCF of Fractions 2817/48,6045/257 is 3/12336

3 2817, 6045
939, 2015

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

Greatest Common Factor of 2817,6045 By Matching Biggest Common Factor Method

Greatest Common Factor of 2817,6045 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 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 2817,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,6045 is 3.

Lets's calculate LCM of 48,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 12336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12336

Therefore, the GCF of Fractions 2817/48,6045/257 is 3/12336

Least Common Multiple of 48,257 with GCF Formula

Least Common Multiple of 48,257 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 48,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,257) = 1

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

GCF(48,257) x common factors =1 x 1 = 1

LCM(48,257) = ( 48 × 257 ) / 1

LCM(48,257) = 12336 / 1

LCM(48,257) = 12336


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 2817/48, 6045/257

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 2817/48, 6045/257?

Answer: GCF of Numerators as per given numbers 2817/48, 6045/257 is

GCF of Numerators i.e. for 2817,6045 is 3

LCM of denominators i.e. for 48,257 is 12336.

Thus, GCF of Fractions is 3/12336.Finally, GCF of Fractions for 2817/48, 6045/257 is 3/12336.