GCD of 473, 525, 74, 822 Calculator

Given Input numbers are 473, 525, 74, 822

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 473, 525, 74, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 525, 74, 822 is 1.

Therefore, GCD of numbers 473, 525, 74, 822 is 1

Given Input Data is 473, 525, 74, 822

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

Prime Factorization of 473 is 11 x 43

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 822 is 2 x 3 x 137

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(473, 525) = 248325

GCD(473, 525) = ( 473 x 525 ) / 248325

GCD(473, 525) = 248325 / 248325

GCD(473, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 473, 525, 74, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 274, 69, 617
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• GCD of 721, 498, 71, 927

1. What is the GCD of 473, 525, 74, 822?

GCD of 473, 525, 74, 822 is 1

2. Where do I get the detailed procedure to find GCD of 473, 525, 74, 822?

You can find a detailed procedure to find GCD of 473, 525, 74, 822 on our page.

3. How to find GCD of 473, 525, 74, 822 on a calculator?

You can find the GCD of 473, 525, 74, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.