Greatest Common Factor of 330/578, 866/433, 738/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/578, 866/433, 738/700

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 330/578,866/433,738/700

Given fractions are 330/578,866/433,738/700

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 330,866,738

Greatest Common Factor of Numerators i.e. GCF of 330,866,738 is 2 .

LCM of Denominators means LCM of 578,433,700 as per the given fractions.

LCM of 578,433,700 is 87595900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,866,738

GCF of Fractions 330/578,866/433,738/700 is 2/87595900

2 330, 866, 738
165, 433, 369

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 330,866,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,866,738 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 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 330,866,738 . The biggest common factor number is the GCF number.
So the greatest common factor 330,866,738 is 2.

Lets's calculate LCM of 578,433,700

2 578, 433, 700
289, 433, 350

∴ So the LCM of the given numbers is 2 x 289 x 433 x 350 = 87595900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87595900

Therefore, the GCF of Fractions 330/578,866/433,738/700 is 2/87595900

Least Common Multiple of 578,433,700 with GCF Formula

Least Common Multiple of 578,433,700 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 578,433,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,433,700) = 1

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

GCF(578,433,700) x common factors =1 x 2 = 2

LCM(578,433,700) = ( 578 × 433 × 700 ) / 2

LCM(578,433,700) = 175191800 / 2

LCM(578,433,700) = 87595900


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 330/578, 866/433, 738/700

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 330/578, 866/433, 738/700?

Answer: GCF of Numerators as per given numbers 330/578, 866/433, 738/700 is

GCF of Numerators i.e. for 330,866,738 is 2

LCM of denominators i.e. for 578,433,700 is 87595900.

Thus, GCF of Fractions is 2/87595900.Finally, GCF of Fractions for 330/578, 866/433, 738/700 is 2/87595900.