Greatest Common Factor of 466/81, 915/79, 738/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/81, 915/79, 738/654

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 466/81,915/79,738/654

Given fractions are 466/81,915/79,738/654

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 466,915,738

Greatest Common Factor of Numerators i.e. GCF of 466,915,738 is 1 .

LCM of Denominators means LCM of 81,79,654 as per the given fractions.

LCM of 81,79,654 is 1394982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,915,738

GCF of Fractions 466/81,915/79,738/654 is 1/1394982

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

Greatest Common Factor of 466,915,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,915,738 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

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 466,915,738 . The biggest common factor number is the GCF number.
So the greatest common factor 466,915,738 is 1.

Lets's calculate LCM of 81,79,654

3 81, 79, 654
27, 79, 218

∴ So the LCM of the given numbers is 3 x 27 x 79 x 218 = 1394982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394982

Therefore, the GCF of Fractions 466/81,915/79,738/654 is 1/1394982

Least Common Multiple of 81,79,654 with GCF Formula

Least Common Multiple of 81,79,654 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 81,79,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,79,654) = 1

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

GCF(81,79,654) x common factors =1 x 3 = 3

LCM(81,79,654) = ( 81 × 79 × 654 ) / 3

LCM(81,79,654) = 4184946 / 3

LCM(81,79,654) = 1394982


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 466/81, 915/79, 738/654

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 466/81, 915/79, 738/654?

Answer: GCF of Numerators as per given numbers 466/81, 915/79, 738/654 is

GCF of Numerators i.e. for 466,915,738 is 1

LCM of denominators i.e. for 81,79,654 is 1394982.

Thus, GCF of Fractions is 1/1394982.Finally, GCF of Fractions for 466/81, 915/79, 738/654 is 1/1394982.