Greatest Common Factor of 1531/333, 3405/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1531/333, 3405/460

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 1531/333,3405/460

Given fractions are 1531/333,3405/460

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 1531,3405

Greatest Common Factor of Numerators i.e. GCF of 1531,3405 is 1 .

LCM of Denominators means LCM of 333,460 as per the given fractions.

LCM of 333,460 is 153180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1531,3405

GCF of Fractions 1531/333,3405/460 is 1/153180

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

Greatest Common Factor of 1531,3405 By Matching Biggest Common Factor Method

Greatest Common Factor of 1531,3405 By Matching Biggest Common Factor Method

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1,1531

Factors of 3405

List of positive integer factors of 3405 that divides 3405 without a remainder.

1,3,5,15,227,681,1135,3405

Greatest Common Factor

We found the factors 1531,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 1531,3405 is 1.

Lets's calculate LCM of 333,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 153180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153180

Therefore, the GCF of Fractions 1531/333,3405/460 is 1/153180

Least Common Multiple of 333,460 with GCF Formula

Least Common Multiple of 333,460 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 333,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,460) = 1

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

GCF(333,460) x common factors =1 x 1 = 1

LCM(333,460) = ( 333 × 460 ) / 1

LCM(333,460) = 153180 / 1

LCM(333,460) = 153180


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 1531/333, 3405/460

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 1531/333, 3405/460?

Answer: GCF of Numerators as per given numbers 1531/333, 3405/460 is

GCF of Numerators i.e. for 1531,3405 is 1

LCM of denominators i.e. for 333,460 is 153180.

Thus, GCF of Fractions is 1/153180.Finally, GCF of Fractions for 1531/333, 3405/460 is 1/153180.