GCD of 42, 508, 527, 628 Calculator

Given Input numbers are 42, 508, 527, 628

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 42, 508, 527, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 508, 527, 628 is 1.

Therefore, GCD of numbers 42, 508, 527, 628 is 1

Given Input Data is 42, 508, 527, 628

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 527 is 17 x 31

Prime Factorization of 628 is 2 x 2 x 157

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(42, 508) = 10668

GCD(42, 508) = ( 42 x 508 ) / 10668

GCD(42, 508) = 21336 / 10668

GCD(42, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 42, 508, 527, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 135, 631, 984
• GCD of 42, 857, 293, 456
• GCD of 31, 219, 261, 730
• GCD of 18, 510, 422, 226
• GCD of 14, 130, 172, 561

1. What is the GCD of 42, 508, 527, 628?

GCD of 42, 508, 527, 628 is 1

2. Where do I get the detailed procedure to find GCD of 42, 508, 527, 628?

You can find a detailed procedure to find GCD of 42, 508, 527, 628 on our page.

3. How to find GCD of 42, 508, 527, 628 on a calculator?

You can find the GCD of 42, 508, 527, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.