Greatest Common Factor of 330/758, 975/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/758, 975/401

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 330/758,975/401

Given fractions are 330/758,975/401

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 330,975

Greatest Common Factor of Numerators i.e. GCF of 330,975 is 15 .

LCM of Denominators means LCM of 758,401 as per the given fractions.

LCM of 758,401 is 303958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,975

GCF of Fractions 330/758,975/401 is 15/303958

3 330, 975
5 110, 325
22, 65

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 330,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,975 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 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 330,975 . The biggest common factor number is the GCF number.
So the greatest common factor 330,975 is 15.

Lets's calculate LCM of 758,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 303958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/303958

Therefore, the GCF of Fractions 330/758,975/401 is 15/303958

Least Common Multiple of 758,401 with GCF Formula

Least Common Multiple of 758,401 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 758,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,401) = 1

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

GCF(758,401) x common factors =1 x 1 = 1

LCM(758,401) = ( 758 × 401 ) / 1

LCM(758,401) = 303958 / 1

LCM(758,401) = 303958


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 330/758, 975/401

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 330/758, 975/401?

Answer: GCF of Numerators as per given numbers 330/758, 975/401 is

GCF of Numerators i.e. for 330,975 is 15

LCM of denominators i.e. for 758,401 is 303958.

Thus, GCF of Fractions is 15/303958.Finally, GCF of Fractions for 330/758, 975/401 is 15/303958.