Greatest Common Factor of 2508/65, 6023/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2508/65, 6023/335

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 2508/65,6023/335

Given fractions are 2508/65,6023/335

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 2508,6023

Greatest Common Factor of Numerators i.e. GCF of 2508,6023 is 19 .

LCM of Denominators means LCM of 65,335 as per the given fractions.

LCM of 65,335 is 4355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2508,6023

GCF of Fractions 2508/65,6023/335 is 19/4355

19 2508, 6023
132, 317

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 2508,6023 By Matching Biggest Common Factor Method

Greatest Common Factor of 2508,6023 By Matching Biggest Common Factor Method

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Factors of 6023

List of positive integer factors of 6023 that divides 6023 without a remainder.

1,19,317,6023

Greatest Common Factor

We found the factors 2508,6023 . The biggest common factor number is the GCF number.
So the greatest common factor 2508,6023 is 19.

Lets's calculate LCM of 65,335

5 65, 335
13, 67

∴ So the LCM of the given numbers is 5 x 13 x 67 = 4355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4355

Therefore, the GCF of Fractions 2508/65,6023/335 is 19/4355

Least Common Multiple of 65,335 with GCF Formula

Least Common Multiple of 65,335 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 65,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,335) = 5

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

GCF(65,335) x common factors =5 x 1 = 5

LCM(65,335) = ( 65 × 335 ) / 5

LCM(65,335) = 21775 / 5

LCM(65,335) = 4355


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 2508/65, 6023/335

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 2508/65, 6023/335?

Answer: GCF of Numerators as per given numbers 2508/65, 6023/335 is

GCF of Numerators i.e. for 2508,6023 is 19

LCM of denominators i.e. for 65,335 is 4355.

Thus, GCF of Fractions is 19/4355.Finally, GCF of Fractions for 2508/65, 6023/335 is 19/4355.