Greatest Common Factor of 330/58, 603/2604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/58, 603/2604

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 330/58,603/2604

Given fractions are 330/58,603/2604

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 330,603

Greatest Common Factor of Numerators i.e. GCF of 330,603 is 3 .

LCM of Denominators means LCM of 58,2604 as per the given fractions.

LCM of 58,2604 is 75516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,603

GCF of Fractions 330/58,603/2604 is 3/75516

3 330, 603
110, 201

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 330,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,603 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 330,603 . The biggest common factor number is the GCF number.
So the greatest common factor 330,603 is 3.

Lets's calculate LCM of 58,2604

2 58, 2604
29, 1302

∴ So the LCM of the given numbers is 2 x 29 x 1302 = 75516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75516

Therefore, the GCF of Fractions 330/58,603/2604 is 3/75516

Least Common Multiple of 58,2604 with GCF Formula

Least Common Multiple of 58,2604 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 58,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,2604) = 2

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

GCF(58,2604) x common factors =2 x 1 = 2

LCM(58,2604) = ( 58 × 2604 ) / 2

LCM(58,2604) = 151032 / 2

LCM(58,2604) = 75516


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 330/58, 603/2604

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 330/58, 603/2604?

Answer: GCF of Numerators as per given numbers 330/58, 603/2604 is

GCF of Numerators i.e. for 330,603 is 3

LCM of denominators i.e. for 58,2604 is 75516.

Thus, GCF of Fractions is 3/75516.Finally, GCF of Fractions for 330/58, 603/2604 is 3/75516.