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 963, 549, 507, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 549, 507, 536 is 1
GCD(963, 549, 507, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 549, 507, 536 is 1
GCD(963, 549, 507, 536) = 1
Given Input numbers are 963, 549, 507, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 963, 549, 507, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 549, 507, 536 is 1.
Therefore, GCD of numbers 963, 549, 507, 536 is 1
Given Input Data is 963, 549, 507, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(963, 549) = 58743
GCD(963, 549) = ( 963 x 549 ) / 58743
GCD(963, 549) = 528687 / 58743
GCD(963, 549) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 507) = 1521
GCD(9, 507) = ( 9 x 507 ) / 1521
GCD(9, 507) = 4563 / 1521
GCD(9, 507) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 536) = 1608
GCD(3, 536) = ( 3 x 536 ) / 1608
GCD(3, 536) = 1608 / 1608
GCD(3, 536) = 1
GCD of 963, 549, 507, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 549, 507, 536?
GCD of 963, 549, 507, 536 is 1
2. Where do I get the detailed procedure to find GCD of 963, 549, 507, 536?
You can find a detailed procedure to find GCD of 963, 549, 507, 536 on our page.
3. How to find GCD of 963, 549, 507, 536 on a calculator?
You can find the GCD of 963, 549, 507, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.