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 664, 693, 36, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 693, 36, 767 is 1
GCD(664, 693, 36, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 693, 36, 767 is 1
GCD(664, 693, 36, 767) = 1
Given Input numbers are 664, 693, 36, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 664, 693, 36, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 693, 36, 767 is 1.
Therefore, GCD of numbers 664, 693, 36, 767 is 1
Given Input Data is 664, 693, 36, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 767 is 13 x 59
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(664, 693) = 460152
GCD(664, 693) = ( 664 x 693 ) / 460152
GCD(664, 693) = 460152 / 460152
GCD(664, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 664, 693, 36, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 693, 36, 767?
GCD of 664, 693, 36, 767 is 1
2. Where do I get the detailed procedure to find GCD of 664, 693, 36, 767?
You can find a detailed procedure to find GCD of 664, 693, 36, 767 on our page.
3. How to find GCD of 664, 693, 36, 767 on a calculator?
You can find the GCD of 664, 693, 36, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.