Greatest Common Factor of 330/132, 851/557, 920/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/132, 851/557, 920/795

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 330/132,851/557,920/795

Given fractions are 330/132,851/557,920/795

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 330,851,920

Greatest Common Factor of Numerators i.e. GCF of 330,851,920 is 1 .

LCM of Denominators means LCM of 132,557,795 as per the given fractions.

LCM of 132,557,795 is 19483860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,851,920

GCF of Fractions 330/132,851/557,920/795 is 1/19483860

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

Greatest Common Factor of 330,851,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,851,920 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 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 330,851,920 . The biggest common factor number is the GCF number.
So the greatest common factor 330,851,920 is 1.

Lets's calculate LCM of 132,557,795

3 132, 557, 795
44, 557, 265

∴ So the LCM of the given numbers is 3 x 44 x 557 x 265 = 19483860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19483860

Therefore, the GCF of Fractions 330/132,851/557,920/795 is 1/19483860

Least Common Multiple of 132,557,795 with GCF Formula

Least Common Multiple of 132,557,795 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 132,557,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,557,795) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(132,557,795) x common factors =1 x 3 = 3

LCM(132,557,795) = ( 132 × 557 × 795 ) / 3

LCM(132,557,795) = 58451580 / 3

LCM(132,557,795) = 19483860


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 330/132, 851/557, 920/795

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 330/132, 851/557, 920/795?

Answer: GCF of Numerators as per given numbers 330/132, 851/557, 920/795 is

GCF of Numerators i.e. for 330,851,920 is 1

LCM of denominators i.e. for 132,557,795 is 19483860.

Thus, GCF of Fractions is 1/19483860.Finally, GCF of Fractions for 330/132, 851/557, 920/795 is 1/19483860.