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 83, 623, 637, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 623, 637, 234 is 1
GCD(83, 623, 637, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 623, 637, 234 is 1
GCD(83, 623, 637, 234) = 1
Given Input numbers are 83, 623, 637, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 83, 623, 637, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 623, 637, 234 is 1.
Therefore, GCD of numbers 83, 623, 637, 234 is 1
Given Input Data is 83, 623, 637, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 623 is 7 x 89
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 234 is 2 x 3 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(83, 623) = 51709
GCD(83, 623) = ( 83 x 623 ) / 51709
GCD(83, 623) = 51709 / 51709
GCD(83, 623) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 83, 623, 637, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 623, 637, 234?
GCD of 83, 623, 637, 234 is 1
2. Where do I get the detailed procedure to find GCD of 83, 623, 637, 234?
You can find a detailed procedure to find GCD of 83, 623, 637, 234 on our page.
3. How to find GCD of 83, 623, 637, 234 on a calculator?
You can find the GCD of 83, 623, 637, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.