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, 736, 817, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 736, 817, 877 is 1
GCD(36, 736, 817, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 736, 817, 877 is 1
GCD(36, 736, 817, 877) = 1
Given Input numbers are 36, 736, 817, 877
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 36, 736, 817, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 736, 817, 877 is 1.
Therefore, GCD of numbers 36, 736, 817, 877 is 1
Given Input Data is 36, 736, 817, 877
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 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 817 is 19 x 43
Prime Factorization of 877 is 877
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, 736) = 6624
GCD(36, 736) = ( 36 x 736 ) / 6624
GCD(36, 736) = 26496 / 6624
GCD(36, 736) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 817) = 3268
GCD(4, 817) = ( 4 x 817 ) / 3268
GCD(4, 817) = 3268 / 3268
GCD(4, 817) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 36, 736, 817, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 736, 817, 877?
GCD of 36, 736, 817, 877 is 1
2. Where do I get the detailed procedure to find GCD of 36, 736, 817, 877?
You can find a detailed procedure to find GCD of 36, 736, 817, 877 on our page.
3. How to find GCD of 36, 736, 817, 877 on a calculator?
You can find the GCD of 36, 736, 817, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.