Greatest Common Factor of 330/76, 838/13, 295/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/76, 838/13, 295/894

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 330/76,838/13,295/894

Given fractions are 330/76,838/13,295/894

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 330,838,295

Greatest Common Factor of Numerators i.e. GCF of 330,838,295 is 1 .

LCM of Denominators means LCM of 76,13,894 as per the given fractions.

LCM of 76,13,894 is 441636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,838,295

GCF of Fractions 330/76,838/13,295/894 is 1/441636

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

Greatest Common Factor of 330,838,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,838,295 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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 330,838,295 . The biggest common factor number is the GCF number.
So the greatest common factor 330,838,295 is 1.

Lets's calculate LCM of 76,13,894

2 76, 13, 894
38, 13, 447

∴ So the LCM of the given numbers is 2 x 38 x 13 x 447 = 441636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441636

Therefore, the GCF of Fractions 330/76,838/13,295/894 is 1/441636

Least Common Multiple of 76,13,894 with GCF Formula

Least Common Multiple of 76,13,894 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 76,13,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,13,894) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,13,894) x common factors =1 x 2 = 2

LCM(76,13,894) = ( 76 × 13 × 894 ) / 2

LCM(76,13,894) = 883272 / 2

LCM(76,13,894) = 441636


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 330/76, 838/13, 295/894

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 330/76, 838/13, 295/894?

Answer: GCF of Numerators as per given numbers 330/76, 838/13, 295/894 is

GCF of Numerators i.e. for 330,838,295 is 1

LCM of denominators i.e. for 76,13,894 is 441636.

Thus, GCF of Fractions is 1/441636.Finally, GCF of Fractions for 330/76, 838/13, 295/894 is 1/441636.