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 785, 566, 396, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 566, 396, 252 is 1
GCD(785, 566, 396, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 566, 396, 252 is 1
GCD(785, 566, 396, 252) = 1
Given Input numbers are 785, 566, 396, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 785, 566, 396, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 566, 396, 252 is 1.
Therefore, GCD of numbers 785, 566, 396, 252 is 1
Given Input Data is 785, 566, 396, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 566 is 2 x 283
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(785, 566) = 444310
GCD(785, 566) = ( 785 x 566 ) / 444310
GCD(785, 566) = 444310 / 444310
GCD(785, 566) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 785, 566, 396, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 566, 396, 252?
GCD of 785, 566, 396, 252 is 1
2. Where do I get the detailed procedure to find GCD of 785, 566, 396, 252?
You can find a detailed procedure to find GCD of 785, 566, 396, 252 on our page.
3. How to find GCD of 785, 566, 396, 252 on a calculator?
You can find the GCD of 785, 566, 396, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.