Greatest Common Factor of 30/233, 65/662, 353/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/233, 65/662, 353/655

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 30/233,65/662,353/655

Given fractions are 30/233,65/662,353/655

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 30,65,353

Greatest Common Factor of Numerators i.e. GCF of 30,65,353 is 1 .

LCM of Denominators means LCM of 233,662,655 as per the given fractions.

LCM of 233,662,655 is 101031130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,65,353

GCF of Fractions 30/233,65/662,353/655 is 1/101031130

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

Greatest Common Factor of 30,65,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,65,353 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 30,65,353 . The biggest common factor number is the GCF number.
So the greatest common factor 30,65,353 is 1.

Lets's calculate LCM of 233,662,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 101031130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101031130

Therefore, the GCF of Fractions 30/233,65/662,353/655 is 1/101031130

Least Common Multiple of 233,662,655 with GCF Formula

Least Common Multiple of 233,662,655 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 233,662,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,662,655) = 1

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

GCF(233,662,655) x common factors =1 x 1 = 1

LCM(233,662,655) = ( 233 × 662 × 655 ) / 1

LCM(233,662,655) = 101031130 / 1

LCM(233,662,655) = 101031130


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 30/233, 65/662, 353/655

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 30/233, 65/662, 353/655?

Answer: GCF of Numerators as per given numbers 30/233, 65/662, 353/655 is

GCF of Numerators i.e. for 30,65,353 is 1

LCM of denominators i.e. for 233,662,655 is 101031130.

Thus, GCF of Fractions is 1/101031130.Finally, GCF of Fractions for 30/233, 65/662, 353/655 is 1/101031130.