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 401, 497, 59, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 497, 59, 580 is 1
GCD(401, 497, 59, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 497, 59, 580 is 1
GCD(401, 497, 59, 580) = 1
Given Input numbers are 401, 497, 59, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
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
Greatest Common Divisior
We found the divisors of 401, 497, 59, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 497, 59, 580 is 1.
Therefore, GCD of numbers 401, 497, 59, 580 is 1
Given Input Data is 401, 497, 59, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 497 is 7 x 71
Prime Factorization of 59 is 59
Prime Factorization of 580 is 2 x 2 x 5 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(401, 497) = 199297
GCD(401, 497) = ( 401 x 497 ) / 199297
GCD(401, 497) = 199297 / 199297
GCD(401, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 401, 497, 59, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 497, 59, 580?
GCD of 401, 497, 59, 580 is 1
2. Where do I get the detailed procedure to find GCD of 401, 497, 59, 580?
You can find a detailed procedure to find GCD of 401, 497, 59, 580 on our page.
3. How to find GCD of 401, 497, 59, 580 on a calculator?
You can find the GCD of 401, 497, 59, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.