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 37, 623, 984, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 623, 984, 624 is 1
GCD(37, 623, 984, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 623, 984, 624 is 1
GCD(37, 623, 984, 624) = 1
Given Input numbers are 37, 623, 984, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 37, 623, 984, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 623, 984, 624 is 1.
Therefore, GCD of numbers 37, 623, 984, 624 is 1
Given Input Data is 37, 623, 984, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 623 is 7 x 89
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(37, 623) = 23051
GCD(37, 623) = ( 37 x 623 ) / 23051
GCD(37, 623) = 23051 / 23051
GCD(37, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 37, 623, 984, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 623, 984, 624?
GCD of 37, 623, 984, 624 is 1
2. Where do I get the detailed procedure to find GCD of 37, 623, 984, 624?
You can find a detailed procedure to find GCD of 37, 623, 984, 624 on our page.
3. How to find GCD of 37, 623, 984, 624 on a calculator?
You can find the GCD of 37, 623, 984, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.