Greatest Common Factor of 351/466, 736/468, 193/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/466, 736/468, 193/642

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 351/466,736/468,193/642

Given fractions are 351/466,736/468,193/642

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 351,736,193

Greatest Common Factor of Numerators i.e. GCF of 351,736,193 is 1 .

LCM of Denominators means LCM of 466,468,642 as per the given fractions.

LCM of 466,468,642 is 11667708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,736,193

GCF of Fractions 351/466,736/468,193/642 is 1/11667708

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

Greatest Common Factor of 351,736,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,736,193 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 351,736,193 . The biggest common factor number is the GCF number.
So the greatest common factor 351,736,193 is 1.

Lets's calculate LCM of 466,468,642

2 466, 468, 642
3 233, 234, 321
233, 78, 107

∴ So the LCM of the given numbers is 2 x 3 x 233 x 78 x 107 = 11667708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11667708

Therefore, the GCF of Fractions 351/466,736/468,193/642 is 1/11667708

Least Common Multiple of 466,468,642 with GCF Formula

Least Common Multiple of 466,468,642 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 466,468,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,468,642) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(466,468,642) x common factors =2 x 6 = 12

LCM(466,468,642) = ( 466 × 468 × 642 ) / 12

LCM(466,468,642) = 140012496 / 12

LCM(466,468,642) = 11667708


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 351/466, 736/468, 193/642

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 351/466, 736/468, 193/642?

Answer: GCF of Numerators as per given numbers 351/466, 736/468, 193/642 is

GCF of Numerators i.e. for 351,736,193 is 1

LCM of denominators i.e. for 466,468,642 is 11667708.

Thus, GCF of Fractions is 1/11667708.Finally, GCF of Fractions for 351/466, 736/468, 193/642 is 1/11667708.