Greatest Common Factor of 401/225, 653/211, 390/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 401/225, 653/211, 390/229

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 401/225,653/211,390/229

Given fractions are 401/225,653/211,390/229

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 401,653,390

Greatest Common Factor of Numerators i.e. GCF of 401,653,390 is 1 .

LCM of Denominators means LCM of 225,211,229 as per the given fractions.

LCM of 225,211,229 is 10871775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 401,653,390

GCF of Fractions 401/225,653/211,390/229 is 1/10871775

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

Greatest Common Factor of 401,653,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,653,390 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 401,653,390 . The biggest common factor number is the GCF number.
So the greatest common factor 401,653,390 is 1.

Lets's calculate LCM of 225,211,229

Given numbers has no common factors except 1. So, there LCM is their product i.e 10871775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10871775

Therefore, the GCF of Fractions 401/225,653/211,390/229 is 1/10871775

Least Common Multiple of 225,211,229 with GCF Formula

Least Common Multiple of 225,211,229 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 225,211,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,211,229) = 1

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

GCF(225,211,229) x common factors =1 x 1 = 1

LCM(225,211,229) = ( 225 × 211 × 229 ) / 1

LCM(225,211,229) = 10871775 / 1

LCM(225,211,229) = 10871775


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 401/225, 653/211, 390/229

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 401/225, 653/211, 390/229?

Answer: GCF of Numerators as per given numbers 401/225, 653/211, 390/229 is

GCF of Numerators i.e. for 401,653,390 is 1

LCM of denominators i.e. for 225,211,229 is 10871775.

Thus, GCF of Fractions is 1/10871775.Finally, GCF of Fractions for 401/225, 653/211, 390/229 is 1/10871775.