GCD of 126, 598, 282, 623 Calculator

Given Input numbers are 126, 598, 282, 623

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 126, 598, 282, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 598, 282, 623 is 1.

Therefore, GCD of numbers 126, 598, 282, 623 is 1

Given Input Data is 126, 598, 282, 623

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 623 is 7 x 89

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(126, 598) = 37674

GCD(126, 598) = ( 126 x 598 ) / 37674

GCD(126, 598) = 75348 / 37674

GCD(126, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

GCD of 126, 598, 282, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 180, 176, 827
• GCD of 819, 491, 449, 552
• GCD of 903, 121, 700, 998
• GCD of 507, 904, 127, 563
• GCD of 265, 548, 370, 363

1. What is the GCD of 126, 598, 282, 623?

GCD of 126, 598, 282, 623 is 1

2. Where do I get the detailed procedure to find GCD of 126, 598, 282, 623?

You can find a detailed procedure to find GCD of 126, 598, 282, 623 on our page.

3. How to find GCD of 126, 598, 282, 623 on a calculator?

You can find the GCD of 126, 598, 282, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.