GCD of 252, 525, 28, 552 Calculator

Given Input numbers are 252, 525, 28, 552

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

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 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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 252, 525, 28, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 525, 28, 552 is 1.

Therefore, GCD of numbers 252, 525, 28, 552 is 1

Given Input Data is 252, 525, 28, 552

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

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

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(252, 525) = 6300

GCD(252, 525) = ( 252 x 525 ) / 6300

GCD(252, 525) = 132300 / 6300

GCD(252, 525) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 28

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

LCM(21, 28) = 84

GCD(21, 28) = ( 21 x 28 ) / 84

GCD(21, 28) = 588 / 84

GCD(21, 28) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 552

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

LCM(7, 552) = 3864

GCD(7, 552) = ( 7 x 552 ) / 3864

GCD(7, 552) = 3864 / 3864

GCD(7, 552) = 1

GCD of 252, 525, 28, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 893, 58, 545
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• GCD of 682, 687, 10, 955
• GCD of 283, 802, 76, 971
• GCD of 613, 998, 12, 375

1. What is the GCD of 252, 525, 28, 552?

GCD of 252, 525, 28, 552 is 1

2. Where do I get the detailed procedure to find GCD of 252, 525, 28, 552?

You can find a detailed procedure to find GCD of 252, 525, 28, 552 on our page.

3. How to find GCD of 252, 525, 28, 552 on a calculator?

You can find the GCD of 252, 525, 28, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.