Greatest Common Factor of 2600/329, 4475/3904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2600/329, 4475/3904

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 2600/329,4475/3904

Given fractions are 2600/329,4475/3904

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 2600,4475

Greatest Common Factor of Numerators i.e. GCF of 2600,4475 is 25 .

LCM of Denominators means LCM of 329,3904 as per the given fractions.

LCM of 329,3904 is 1284416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2600,4475

GCF of Fractions 2600/329,4475/3904 is 25/1284416

5 2600, 4475
5 520, 895
104, 179

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 2600,4475 By Matching Biggest Common Factor Method

Greatest Common Factor of 2600,4475 By Matching Biggest Common Factor Method

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1,5,25,179,895,4475

Greatest Common Factor

We found the factors 2600,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,4475 is 25.

Lets's calculate LCM of 329,3904

Given numbers has no common factors except 1. So, there LCM is their product i.e 1284416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1284416

Therefore, the GCF of Fractions 2600/329,4475/3904 is 25/1284416

Least Common Multiple of 329,3904 with GCF Formula

Least Common Multiple of 329,3904 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 329,3904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,3904) = 1

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

GCF(329,3904) x common factors =1 x 1 = 1

LCM(329,3904) = ( 329 × 3904 ) / 1

LCM(329,3904) = 1284416 / 1

LCM(329,3904) = 1284416


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 2600/329, 4475/3904

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 2600/329, 4475/3904?

Answer: GCF of Numerators as per given numbers 2600/329, 4475/3904 is

GCF of Numerators i.e. for 2600,4475 is 25

LCM of denominators i.e. for 329,3904 is 1284416.

Thus, GCF of Fractions is 25/1284416.Finally, GCF of Fractions for 2600/329, 4475/3904 is 25/1284416.