GCD of 609, 234, 316, 525 Calculator

Given Input numbers are 609, 234, 316, 525

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

Divisors of 609

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

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 609, 234, 316, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 234, 316, 525 is 1.

Therefore, GCD of numbers 609, 234, 316, 525 is 1

Given Input Data is 609, 234, 316, 525

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(609, 234) = 47502

GCD(609, 234) = ( 609 x 234 ) / 47502

GCD(609, 234) = 142506 / 47502

GCD(609, 234) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 316

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

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

GCD(3, 316) = 948 / 948

GCD(3, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 609, 234, 316, 525 is 1

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1. What is the GCD of 609, 234, 316, 525?

GCD of 609, 234, 316, 525 is 1

2. Where do I get the detailed procedure to find GCD of 609, 234, 316, 525?

You can find a detailed procedure to find GCD of 609, 234, 316, 525 on our page.

3. How to find GCD of 609, 234, 316, 525 on a calculator?

You can find the GCD of 609, 234, 316, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.