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, 906, 964, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 906, 964, 540 is 1
GCD(63, 906, 964, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 906, 964, 540 is 1
GCD(63, 906, 964, 540) = 1
Given Input numbers are 63, 906, 964, 540
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 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 63, 906, 964, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 906, 964, 540 is 1.
Therefore, GCD of numbers 63, 906, 964, 540 is 1
Given Input Data is 63, 906, 964, 540
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 906 is 2 x 3 x 151
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
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, 906) = 19026
GCD(63, 906) = ( 63 x 906 ) / 19026
GCD(63, 906) = 57078 / 19026
GCD(63, 906) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 964) = 2892
GCD(3, 964) = ( 3 x 964 ) / 2892
GCD(3, 964) = 2892 / 2892
GCD(3, 964) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 63, 906, 964, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 906, 964, 540?
GCD of 63, 906, 964, 540 is 1
2. Where do I get the detailed procedure to find GCD of 63, 906, 964, 540?
You can find a detailed procedure to find GCD of 63, 906, 964, 540 on our page.
3. How to find GCD of 63, 906, 964, 540 on a calculator?
You can find the GCD of 63, 906, 964, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.