GCD of 525, 205, 252, 652 Calculator

Given Input numbers are 525, 205, 252, 652

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

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 525, 205, 252, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 205, 252, 652 is 1.

Therefore, GCD of numbers 525, 205, 252, 652 is 1

Given Input Data is 525, 205, 252, 652

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

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 652 is 2 x 2 x 163

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(525, 205) = 21525

GCD(525, 205) = ( 525 x 205 ) / 21525

GCD(525, 205) = 107625 / 21525

GCD(525, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 252

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

LCM(5, 252) = 1260

GCD(5, 252) = ( 5 x 252 ) / 1260

GCD(5, 252) = 1260 / 1260

GCD(5, 252) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 525, 205, 252, 652 is 1

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1. What is the GCD of 525, 205, 252, 652?

GCD of 525, 205, 252, 652 is 1

2. Where do I get the detailed procedure to find GCD of 525, 205, 252, 652?

You can find a detailed procedure to find GCD of 525, 205, 252, 652 on our page.

3. How to find GCD of 525, 205, 252, 652 on a calculator?

You can find the GCD of 525, 205, 252, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.