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 580, 772, 252, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 772, 252, 377 is 1
GCD(580, 772, 252, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 772, 252, 377 is 1
GCD(580, 772, 252, 377) = 1
Given Input numbers are 580, 772, 252, 377
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
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
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 580, 772, 252, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 772, 252, 377 is 1.
Therefore, GCD of numbers 580, 772, 252, 377 is 1
Given Input Data is 580, 772, 252, 377
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 377 is 13 x 29
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(580, 772) = 111940
GCD(580, 772) = ( 580 x 772 ) / 111940
GCD(580, 772) = 447760 / 111940
GCD(580, 772) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 252) = 252
GCD(4, 252) = ( 4 x 252 ) / 252
GCD(4, 252) = 1008 / 252
GCD(4, 252) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 377) = 1508
GCD(4, 377) = ( 4 x 377 ) / 1508
GCD(4, 377) = 1508 / 1508
GCD(4, 377) = 1
GCD of 580, 772, 252, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 772, 252, 377?
GCD of 580, 772, 252, 377 is 1
2. Where do I get the detailed procedure to find GCD of 580, 772, 252, 377?
You can find a detailed procedure to find GCD of 580, 772, 252, 377 on our page.
3. How to find GCD of 580, 772, 252, 377 on a calculator?
You can find the GCD of 580, 772, 252, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.