Greatest Common Factor of 330/749, 645/418, 815/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/749, 645/418, 815/282

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 330/749,645/418,815/282

Given fractions are 330/749,645/418,815/282

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 330,645,815

Greatest Common Factor of Numerators i.e. GCF of 330,645,815 is 5 .

LCM of Denominators means LCM of 749,418,282 as per the given fractions.

LCM of 749,418,282 is 44144562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,645,815

GCF of Fractions 330/749,645/418,815/282 is 5/44144562

5 330, 645, 815
66, 129, 163

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 330,645,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,645,815 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 330,645,815 . The biggest common factor number is the GCF number.
So the greatest common factor 330,645,815 is 5.

Lets's calculate LCM of 749,418,282

2 749, 418, 282
749, 209, 141

∴ So the LCM of the given numbers is 2 x 749 x 209 x 141 = 44144562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/44144562

Therefore, the GCF of Fractions 330/749,645/418,815/282 is 5/44144562

Least Common Multiple of 749,418,282 with GCF Formula

Least Common Multiple of 749,418,282 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 749,418,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,418,282) = 1

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

GCF(749,418,282) x common factors =1 x 2 = 2

LCM(749,418,282) = ( 749 × 418 × 282 ) / 2

LCM(749,418,282) = 88289124 / 2

LCM(749,418,282) = 44144562


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 330/749, 645/418, 815/282

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 330/749, 645/418, 815/282?

Answer: GCF of Numerators as per given numbers 330/749, 645/418, 815/282 is

GCF of Numerators i.e. for 330,645,815 is 5

LCM of denominators i.e. for 749,418,282 is 44144562.

Thus, GCF of Fractions is 5/44144562.Finally, GCF of Fractions for 330/749, 645/418, 815/282 is 5/44144562.