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 486, 488, 36, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 488, 36, 775 is 1
GCD(486, 488, 36, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 488, 36, 775 is 1
GCD(486, 488, 36, 775) = 1
Given Input numbers are 486, 488, 36, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 486, 488, 36, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 488, 36, 775 is 1.
Therefore, GCD of numbers 486, 488, 36, 775 is 1
Given Input Data is 486, 488, 36, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 775 is 5 x 5 x 31
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(486, 488) = 118584
GCD(486, 488) = ( 486 x 488 ) / 118584
GCD(486, 488) = 237168 / 118584
GCD(486, 488) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
GCD(2, 775) = 1550 / 1550
GCD(2, 775) = 1
GCD of 486, 488, 36, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 488, 36, 775?
GCD of 486, 488, 36, 775 is 1
2. Where do I get the detailed procedure to find GCD of 486, 488, 36, 775?
You can find a detailed procedure to find GCD of 486, 488, 36, 775 on our page.
3. How to find GCD of 486, 488, 36, 775 on a calculator?
You can find the GCD of 486, 488, 36, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.