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 62, 600, 361, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 600, 361, 423 is 1
GCD(62, 600, 361, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 600, 361, 423 is 1
GCD(62, 600, 361, 423) = 1
Given Input numbers are 62, 600, 361, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 62, 600, 361, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 600, 361, 423 is 1.
Therefore, GCD of numbers 62, 600, 361, 423 is 1
Given Input Data is 62, 600, 361, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 361 is 19 x 19
Prime Factorization of 423 is 3 x 3 x 47
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(62, 600) = 18600
GCD(62, 600) = ( 62 x 600 ) / 18600
GCD(62, 600) = 37200 / 18600
GCD(62, 600) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
GCD(2, 361) = 722 / 722
GCD(2, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 62, 600, 361, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 600, 361, 423?
GCD of 62, 600, 361, 423 is 1
2. Where do I get the detailed procedure to find GCD of 62, 600, 361, 423?
You can find a detailed procedure to find GCD of 62, 600, 361, 423 on our page.
3. How to find GCD of 62, 600, 361, 423 on a calculator?
You can find the GCD of 62, 600, 361, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.