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 36, 821, 655, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 821, 655, 776 is 1
GCD(36, 821, 655, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 821, 655, 776 is 1
GCD(36, 821, 655, 776) = 1
Given Input numbers are 36, 821, 655, 776
To find the GCD of numbers using factoring list out all the divisors of each number
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 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 36, 821, 655, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 821, 655, 776 is 1.
Therefore, GCD of numbers 36, 821, 655, 776 is 1
Given Input Data is 36, 821, 655, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 821 is 821
Prime Factorization of 655 is 5 x 131
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(36, 821) = 29556
GCD(36, 821) = ( 36 x 821 ) / 29556
GCD(36, 821) = 29556 / 29556
GCD(36, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 36, 821, 655, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 821, 655, 776?
GCD of 36, 821, 655, 776 is 1
2. Where do I get the detailed procedure to find GCD of 36, 821, 655, 776?
You can find a detailed procedure to find GCD of 36, 821, 655, 776 on our page.
3. How to find GCD of 36, 821, 655, 776 on a calculator?
You can find the GCD of 36, 821, 655, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.