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 217, 355, 374, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 355, 374, 620 is 1
GCD(217, 355, 374, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 355, 374, 620 is 1
GCD(217, 355, 374, 620) = 1
Given Input numbers are 217, 355, 374, 620
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
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 217, 355, 374, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 355, 374, 620 is 1.
Therefore, GCD of numbers 217, 355, 374, 620 is 1
Given Input Data is 217, 355, 374, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 355 is 5 x 71
Prime Factorization of 374 is 2 x 11 x 17
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(217, 355) = 77035
GCD(217, 355) = ( 217 x 355 ) / 77035
GCD(217, 355) = 77035 / 77035
GCD(217, 355) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 217, 355, 374, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 355, 374, 620?
GCD of 217, 355, 374, 620 is 1
2. Where do I get the detailed procedure to find GCD of 217, 355, 374, 620?
You can find a detailed procedure to find GCD of 217, 355, 374, 620 on our page.
3. How to find GCD of 217, 355, 374, 620 on a calculator?
You can find the GCD of 217, 355, 374, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.