GCD of 83, 623, 637, 234 Calculator

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.

• GCD of 77, 237, 520, 249
• GCD of 72, 175, 332, 969
• GCD of 33, 324, 394, 734
• GCD of 77, 169, 988, 555
• GCD of 49, 532, 306, 479

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.