Greatest Common Factor of 465/593, 905/939, 398/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/593, 905/939, 398/446

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 465/593,905/939,398/446

Given fractions are 465/593,905/939,398/446

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 465,905,398

Greatest Common Factor of Numerators i.e. GCF of 465,905,398 is 1 .

LCM of Denominators means LCM of 593,939,446 as per the given fractions.

LCM of 593,939,446 is 248344842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,905,398

GCF of Fractions 465/593,905/939,398/446 is 1/248344842

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

Greatest Common Factor of 465,905,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,905,398 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 465,905,398 . The biggest common factor number is the GCF number.
So the greatest common factor 465,905,398 is 1.

Lets's calculate LCM of 593,939,446

Given numbers has no common factors except 1. So, there LCM is their product i.e 248344842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248344842

Therefore, the GCF of Fractions 465/593,905/939,398/446 is 1/248344842

Least Common Multiple of 593,939,446 with GCF Formula

Least Common Multiple of 593,939,446 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 593,939,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,939,446) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(593,939,446) x common factors =1 x 1 = 1

LCM(593,939,446) = ( 593 × 939 × 446 ) / 1

LCM(593,939,446) = 248344842 / 1

LCM(593,939,446) = 248344842


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 465/593, 905/939, 398/446

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 465/593, 905/939, 398/446?

Answer: GCF of Numerators as per given numbers 465/593, 905/939, 398/446 is

GCF of Numerators i.e. for 465,905,398 is 1

LCM of denominators i.e. for 593,939,446 is 248344842.

Thus, GCF of Fractions is 1/248344842.Finally, GCF of Fractions for 465/593, 905/939, 398/446 is 1/248344842.