Greatest Common Factor of 7325/412, 2508/4304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7325/412, 2508/4304

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 7325/412,2508/4304

Given fractions are 7325/412,2508/4304

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 7325,2508

Greatest Common Factor of Numerators i.e. GCF of 7325,2508 is 1 .

LCM of Denominators means LCM of 412,4304 as per the given fractions.

LCM of 412,4304 is 443312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7325,2508

GCF of Fractions 7325/412,2508/4304 is 1/443312

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7325,2508 By Matching Biggest Common Factor Method

Greatest Common Factor of 7325,2508 By Matching Biggest Common Factor Method

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

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

Greatest Common Factor

We found the factors 7325,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,2508 is 1.

Lets's calculate LCM of 412,4304

2 412, 4304
2 206, 2152
103, 1076

∴ So the LCM of the given numbers is 2 x 2 x 103 x 1076 = 443312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443312

Therefore, the GCF of Fractions 7325/412,2508/4304 is 1/443312

Least Common Multiple of 412,4304 with GCF Formula

Least Common Multiple of 412,4304 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 412,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,4304) = 4

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

GCF(412,4304) x common factors =4 x 1 = 4

LCM(412,4304) = ( 412 × 4304 ) / 4

LCM(412,4304) = 1773248 / 4

LCM(412,4304) = 443312


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 7325/412, 2508/4304

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 7325/412, 2508/4304?

Answer: GCF of Numerators as per given numbers 7325/412, 2508/4304 is

GCF of Numerators i.e. for 7325,2508 is 1

LCM of denominators i.e. for 412,4304 is 443312.

Thus, GCF of Fractions is 1/443312.Finally, GCF of Fractions for 7325/412, 2508/4304 is 1/443312.