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, 376, 53, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 580, 376, 53, 442 is 1
GCD(580, 376, 53, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 580, 376, 53, 442 is 1
GCD(580, 376, 53, 442) = 1
Given Input numbers are 580, 376, 53, 442
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 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 580, 376, 53, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 376, 53, 442 is 1.
Therefore, GCD of numbers 580, 376, 53, 442 is 1
Given Input Data is 580, 376, 53, 442
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 376 is 2 x 2 x 2 x 47
Prime Factorization of 53 is 53
Prime Factorization of 442 is 2 x 13 x 17
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, 376) = 54520
GCD(580, 376) = ( 580 x 376 ) / 54520
GCD(580, 376) = 218080 / 54520
GCD(580, 376) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 580, 376, 53, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 580, 376, 53, 442?
GCD of 580, 376, 53, 442 is 1
2. Where do I get the detailed procedure to find GCD of 580, 376, 53, 442?
You can find a detailed procedure to find GCD of 580, 376, 53, 442 on our page.
3. How to find GCD of 580, 376, 53, 442 on a calculator?
You can find the GCD of 580, 376, 53, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.