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 362, 123, 37, 538 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 123, 37, 538 is 1
GCD(362, 123, 37, 538) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 123, 37, 538 is 1
GCD(362, 123, 37, 538) = 1
Given Input numbers are 362, 123, 37, 538
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Greatest Common Divisior
We found the divisors of 362, 123, 37, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 123, 37, 538 is 1.
Therefore, GCD of numbers 362, 123, 37, 538 is 1
Given Input Data is 362, 123, 37, 538
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 123 is 3 x 41
Prime Factorization of 37 is 37
Prime Factorization of 538 is 2 x 269
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(362, 123) = 44526
GCD(362, 123) = ( 362 x 123 ) / 44526
GCD(362, 123) = 44526 / 44526
GCD(362, 123) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
GCD of 362, 123, 37, 538 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 123, 37, 538?
GCD of 362, 123, 37, 538 is 1
2. Where do I get the detailed procedure to find GCD of 362, 123, 37, 538?
You can find a detailed procedure to find GCD of 362, 123, 37, 538 on our page.
3. How to find GCD of 362, 123, 37, 538 on a calculator?
You can find the GCD of 362, 123, 37, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.