Greatest Common Factor of 3244/25, 2456/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3244/25, 2456/845

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 3244/25,2456/845

Given fractions are 3244/25,2456/845

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 3244,2456

Greatest Common Factor of Numerators i.e. GCF of 3244,2456 is 4 .

LCM of Denominators means LCM of 25,845 as per the given fractions.

LCM of 25,845 is 4225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3244,2456

GCF of Fractions 3244/25,2456/845 is 4/4225

2 3244, 2456
2 1622, 1228
811, 614

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3244,2456 By Matching Biggest Common Factor Method

Greatest Common Factor of 3244,2456 By Matching Biggest Common Factor Method

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Factors of 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1,2,4,8,307,614,1228,2456

Greatest Common Factor

We found the factors 3244,2456 . The biggest common factor number is the GCF number.
So the greatest common factor 3244,2456 is 4.

Lets's calculate LCM of 25,845

5 25, 845
5, 169

∴ So the LCM of the given numbers is 5 x 5 x 169 = 4225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4225

Therefore, the GCF of Fractions 3244/25,2456/845 is 4/4225

Least Common Multiple of 25,845 with GCF Formula

Least Common Multiple of 25,845 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 25,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,845) = 5

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

GCF(25,845) x common factors =5 x 1 = 5

LCM(25,845) = ( 25 × 845 ) / 5

LCM(25,845) = 21125 / 5

LCM(25,845) = 4225


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 3244/25, 2456/845

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 3244/25, 2456/845?

Answer: GCF of Numerators as per given numbers 3244/25, 2456/845 is

GCF of Numerators i.e. for 3244,2456 is 4

LCM of denominators i.e. for 25,845 is 4225.

Thus, GCF of Fractions is 4/4225.Finally, GCF of Fractions for 3244/25, 2456/845 is 4/4225.