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 180, 355, 482, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 355, 482, 635 is 1
GCD(180, 355, 482, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 355, 482, 635 is 1
GCD(180, 355, 482, 635) = 1
Given Input numbers are 180, 355, 482, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 180, 355, 482, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 355, 482, 635 is 1.
Therefore, GCD of numbers 180, 355, 482, 635 is 1
Given Input Data is 180, 355, 482, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 355 is 5 x 71
Prime Factorization of 482 is 2 x 241
Prime Factorization of 635 is 5 x 127
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(180, 355) = 12780
GCD(180, 355) = ( 180 x 355 ) / 12780
GCD(180, 355) = 63900 / 12780
GCD(180, 355) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 482) = 2410
GCD(5, 482) = ( 5 x 482 ) / 2410
GCD(5, 482) = 2410 / 2410
GCD(5, 482) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 180, 355, 482, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 355, 482, 635?
GCD of 180, 355, 482, 635 is 1
2. Where do I get the detailed procedure to find GCD of 180, 355, 482, 635?
You can find a detailed procedure to find GCD of 180, 355, 482, 635 on our page.
3. How to find GCD of 180, 355, 482, 635 on a calculator?
You can find the GCD of 180, 355, 482, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.