GCD of 606, 126, 523, 678 Calculator

Given Input numbers are 606, 126, 523, 678

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 606, 126, 523, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 126, 523, 678 is 1.

Therefore, GCD of numbers 606, 126, 523, 678 is 1

Given Input Data is 606, 126, 523, 678

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

Prime Factorization of 606 is 2 x 3 x 101

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

Prime Factorization of 523 is 523

Prime Factorization of 678 is 2 x 3 x 113

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(606, 126) = 12726

GCD(606, 126) = ( 606 x 126 ) / 12726

GCD(606, 126) = 76356 / 12726

GCD(606, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 523

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

LCM(6, 523) = 3138

GCD(6, 523) = ( 6 x 523 ) / 3138

GCD(6, 523) = 3138 / 3138

GCD(6, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 606, 126, 523, 678 is 1

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1. What is the GCD of 606, 126, 523, 678?

GCD of 606, 126, 523, 678 is 1

2. Where do I get the detailed procedure to find GCD of 606, 126, 523, 678?

You can find a detailed procedure to find GCD of 606, 126, 523, 678 on our page.

3. How to find GCD of 606, 126, 523, 678 on a calculator?

You can find the GCD of 606, 126, 523, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.