GCD of 46, 64, 30 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 46, 64, 30 i.e. 2 largest integer that divides all the numbers equally.

GCD of 46, 64, 30 is 2

GCD(46, 64, 30) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 46, 64, 30 is 2

GCD(46, 64, 30) = 2

GCD of 46,64,30 Calculator

GCDof 46,64,30 is 2

Given Input numbers are 46, 64, 30

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 46, 64, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 64, 30 is 2.

Therefore, GCD of numbers 46, 64, 30 is 2

Finding GCD of 46, 64, 30 using Prime Factorization

Given Input Data is 46, 64, 30

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 46 is 2 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 30 is 2 x 3 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 46, 64, 30 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(46, 64) = 1472

GCD(46, 64) = ( 46 x 64 ) / 1472

GCD(46, 64) = 2944 / 1472

GCD(46, 64) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

GCD of 46, 64, 30 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 46, 64, 30

1. What is the GCD of 46, 64, 30?

GCD of 46, 64, 30 is 2

2. Where do I get the detailed procedure to find GCD of 46, 64, 30?

You can find a detailed procedure to find GCD of 46, 64, 30 on our page.

3. How to find GCD of 46, 64, 30 on a calculator?

You can find the GCD of 46, 64, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.