Greatest Common Factor of 425/734, 225/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 425/734, 225/401

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 425/734,225/401

Given fractions are 425/734,225/401

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 425,225

Greatest Common Factor of Numerators i.e. GCF of 425,225 is 25 .

LCM of Denominators means LCM of 734,401 as per the given fractions.

LCM of 734,401 is 294334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 425,225

GCF of Fractions 425/734,225/401 is 25/294334

5 425, 225
5 85, 45
17, 9

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

Greatest Common Factor of 425,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,225 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 425,225 . The biggest common factor number is the GCF number.
So the greatest common factor 425,225 is 25.

Lets's calculate LCM of 734,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 294334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/294334

Therefore, the GCF of Fractions 425/734,225/401 is 25/294334

Least Common Multiple of 734,401 with GCF Formula

Least Common Multiple of 734,401 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 734,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,401) = 1

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

GCF(734,401) x common factors =1 x 1 = 1

LCM(734,401) = ( 734 × 401 ) / 1

LCM(734,401) = 294334 / 1

LCM(734,401) = 294334


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 425/734, 225/401

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 425/734, 225/401?

Answer: GCF of Numerators as per given numbers 425/734, 225/401 is

GCF of Numerators i.e. for 425,225 is 25

LCM of denominators i.e. for 734,401 is 294334.

Thus, GCF of Fractions is 25/294334.Finally, GCF of Fractions for 425/734, 225/401 is 25/294334.