GCD of 524, 262, 42, 609 Calculator

Given Input numbers are 524, 262, 42, 609

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 524, 262, 42, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 262, 42, 609 is 1.

Therefore, GCD of numbers 524, 262, 42, 609 is 1

Given Input Data is 524, 262, 42, 609

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 262 is 2 x 131

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 609 is 3 x 7 x 29

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(524, 262) = 524

GCD(524, 262) = ( 524 x 262 ) / 524

GCD(524, 262) = 137288 / 524

GCD(524, 262) = 262

Step2:

Here we consider the GCD from the above i.e. 262 as first number and the next as 42

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

LCM(262, 42) = 5502

GCD(262, 42) = ( 262 x 42 ) / 5502

GCD(262, 42) = 11004 / 5502

GCD(262, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

GCD of 524, 262, 42, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 206, 26, 866
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• GCD of 230, 792, 54, 463
• GCD of 314, 571, 48, 110
• GCD of 101, 459, 70, 960

1. What is the GCD of 524, 262, 42, 609?

GCD of 524, 262, 42, 609 is 1

2. Where do I get the detailed procedure to find GCD of 524, 262, 42, 609?

You can find a detailed procedure to find GCD of 524, 262, 42, 609 on our page.

3. How to find GCD of 524, 262, 42, 609 on a calculator?

You can find the GCD of 524, 262, 42, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.