GCD of 133, 238, 387, 525 Calculator

Given Input numbers are 133, 238, 387, 525

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 133, 238, 387, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 238, 387, 525 is 1.

Therefore, GCD of numbers 133, 238, 387, 525 is 1

Given Input Data is 133, 238, 387, 525

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 387 is 3 x 3 x 43

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(133, 238) = 4522

GCD(133, 238) = ( 133 x 238 ) / 4522

GCD(133, 238) = 31654 / 4522

GCD(133, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 387

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

LCM(7, 387) = 2709

GCD(7, 387) = ( 7 x 387 ) / 2709

GCD(7, 387) = 2709 / 2709

GCD(7, 387) = 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 133, 238, 387, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 263, 162, 193
• GCD of 557, 526, 911, 537
• GCD of 613, 591, 230, 953
• GCD of 315, 985, 138, 730
• GCD of 159, 568, 669, 879

1. What is the GCD of 133, 238, 387, 525?

GCD of 133, 238, 387, 525 is 1

2. Where do I get the detailed procedure to find GCD of 133, 238, 387, 525?

You can find a detailed procedure to find GCD of 133, 238, 387, 525 on our page.

3. How to find GCD of 133, 238, 387, 525 on a calculator?

You can find the GCD of 133, 238, 387, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.