Greatest Common Factor of 725/58, 4621/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/58, 4621/388

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 725/58,4621/388

Given fractions are 725/58,4621/388

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 725,4621

Greatest Common Factor of Numerators i.e. GCF of 725,4621 is 1 .

LCM of Denominators means LCM of 58,388 as per the given fractions.

LCM of 58,388 is 11252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,4621

GCF of Fractions 725/58,4621/388 is 1/11252

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

Greatest Common Factor of 725,4621 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,4621 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 4621

List of positive integer factors of 4621 that divides 4621 without a remainder.

1,4621

Greatest Common Factor

We found the factors 725,4621 . The biggest common factor number is the GCF number.
So the greatest common factor 725,4621 is 1.

Lets's calculate LCM of 58,388

2 58, 388
29, 194

∴ So the LCM of the given numbers is 2 x 29 x 194 = 11252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11252

Therefore, the GCF of Fractions 725/58,4621/388 is 1/11252

Least Common Multiple of 58,388 with GCF Formula

Least Common Multiple of 58,388 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 58,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,388) = 2

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

GCF(58,388) x common factors =2 x 1 = 2

LCM(58,388) = ( 58 × 388 ) / 2

LCM(58,388) = 22504 / 2

LCM(58,388) = 11252


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 725/58, 4621/388

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 725/58, 4621/388?

Answer: GCF of Numerators as per given numbers 725/58, 4621/388 is

GCF of Numerators i.e. for 725,4621 is 1

LCM of denominators i.e. for 58,388 is 11252.

Thus, GCF of Fractions is 1/11252.Finally, GCF of Fractions for 725/58, 4621/388 is 1/11252.