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 355, 284, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 284, 620 is 1
GCD(355, 284, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 284, 620 is 1
GCD(355, 284, 620) = 1
Given Input numbers are 355, 284, 620
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 355, 284, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 284, 620 is 1.
Therefore, GCD of numbers 355, 284, 620 is 1
Given Input Data is 355, 284, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(355, 284) = 1420
GCD(355, 284) = ( 355 x 284 ) / 1420
GCD(355, 284) = 100820 / 1420
GCD(355, 284) = 71
Step2:
Here we consider the GCD from the above i.e. 71 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(71, 620) = 44020
GCD(71, 620) = ( 71 x 620 ) / 44020
GCD(71, 620) = 44020 / 44020
GCD(71, 620) = 1
GCD of 355, 284, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 284, 620?
GCD of 355, 284, 620 is 1
2. Where do I get the detailed procedure to find GCD of 355, 284, 620?
You can find a detailed procedure to find GCD of 355, 284, 620 on our page.
3. How to find GCD of 355, 284, 620 on a calculator?
You can find the GCD of 355, 284, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.