GCD of 525, 381, 28, 290 Calculator

Given Input numbers are 525, 381, 28, 290

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 525, 381, 28, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 381, 28, 290 is 1.

Therefore, GCD of numbers 525, 381, 28, 290 is 1

Given Input Data is 525, 381, 28, 290

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 381 is 3 x 127

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 290 is 2 x 5 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(525, 381) = 66675

GCD(525, 381) = ( 525 x 381 ) / 66675

GCD(525, 381) = 200025 / 66675

GCD(525, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 28

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

LCM(3, 28) = 84

GCD(3, 28) = ( 3 x 28 ) / 84

GCD(3, 28) = 84 / 84

GCD(3, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 525, 381, 28, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 753, 59, 163
• GCD of 610, 103, 70, 826
• GCD of 867, 286, 12, 529
• GCD of 856, 978, 56, 905
• GCD of 667, 902, 77, 165

1. What is the GCD of 525, 381, 28, 290?

GCD of 525, 381, 28, 290 is 1

2. Where do I get the detailed procedure to find GCD of 525, 381, 28, 290?

You can find a detailed procedure to find GCD of 525, 381, 28, 290 on our page.

3. How to find GCD of 525, 381, 28, 290 on a calculator?

You can find the GCD of 525, 381, 28, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.