GCD of 126, 384, 89, 604 Calculator

Given Input numbers are 126, 384, 89, 604

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 126, 384, 89, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 384, 89, 604 is 1.

Therefore, GCD of numbers 126, 384, 89, 604 is 1

Given Input Data is 126, 384, 89, 604

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 89 is 89

Prime Factorization of 604 is 2 x 2 x 151

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, 384) = 8064

GCD(126, 384) = ( 126 x 384 ) / 8064

GCD(126, 384) = 48384 / 8064

GCD(126, 384) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 89

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

LCM(6, 89) = 534

GCD(6, 89) = ( 6 x 89 ) / 534

GCD(6, 89) = 534 / 534

GCD(6, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 126, 384, 89, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 648, 27, 534
• GCD of 811, 224, 18, 481
• GCD of 150, 347, 92, 816
• GCD of 683, 197, 61, 751
• GCD of 931, 500, 45, 794

1. What is the GCD of 126, 384, 89, 604?

GCD of 126, 384, 89, 604 is 1

2. Where do I get the detailed procedure to find GCD of 126, 384, 89, 604?

You can find a detailed procedure to find GCD of 126, 384, 89, 604 on our page.

3. How to find GCD of 126, 384, 89, 604 on a calculator?

You can find the GCD of 126, 384, 89, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.