GCD of 225, 708, 73, 357 Calculator

Given Input numbers are 225, 708, 73, 357

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 225, 708, 73, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 708, 73, 357 is 1.

Therefore, GCD of numbers 225, 708, 73, 357 is 1

Given Input Data is 225, 708, 73, 357

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 73 is 73

Prime Factorization of 357 is 3 x 7 x 17

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(225, 708) = 53100

GCD(225, 708) = ( 225 x 708 ) / 53100

GCD(225, 708) = 159300 / 53100

GCD(225, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 225, 708, 73, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 409, 95, 531
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• GCD of 827, 803, 46, 231
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• GCD of 710, 312, 59, 310

1. What is the GCD of 225, 708, 73, 357?

GCD of 225, 708, 73, 357 is 1

2. Where do I get the detailed procedure to find GCD of 225, 708, 73, 357?

You can find a detailed procedure to find GCD of 225, 708, 73, 357 on our page.

3. How to find GCD of 225, 708, 73, 357 on a calculator?

You can find the GCD of 225, 708, 73, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.