GCD of 63, 9, 51, 59 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 63, 9, 51, 59 i.e. 1 largest integer that divides all the numbers equally.

GCD of 63, 9, 51, 59 is 1

GCD(63, 9, 51, 59) = 1

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

GCD of

GCD of numbers 63, 9, 51, 59 is 1

GCD(63, 9, 51, 59) = 1

GCD of 63,9,51,59 Calculator

GCDof 63,9,51,59 is 1

Given Input numbers are 63, 9, 51, 59

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 63, 9, 51, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 9, 51, 59 is 1.

Therefore, GCD of numbers 63, 9, 51, 59 is 1

Finding GCD of 63, 9, 51, 59 using Prime Factorization

Given Input Data is 63, 9, 51, 59

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 9 is 3 x 3

Prime Factorization of 51 is 3 x 17

Prime Factorization of 59 is 59

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 63, 9, 51, 59 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(63, 9) = 63

GCD(63, 9) = ( 63 x 9 ) / 63

GCD(63, 9) = 567 / 63

GCD(63, 9) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 51

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

LCM(9, 51) = 153

GCD(9, 51) = ( 9 x 51 ) / 153

GCD(9, 51) = 459 / 153

GCD(9, 51) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

GCD of 63, 9, 51, 59 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 63, 9, 51, 59

1. What is the GCD of 63, 9, 51, 59?

GCD of 63, 9, 51, 59 is 1


2. Where do I get the detailed procedure to find GCD of 63, 9, 51, 59?

You can find a detailed procedure to find GCD of 63, 9, 51, 59 on our page.


3. How to find GCD of 63, 9, 51, 59 on a calculator?

You can find the GCD of 63, 9, 51, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.