GCD of 465, 414, 842, 573 Calculator

Given Input numbers are 465, 414, 842, 573

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 465, 414, 842, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 414, 842, 573 is 1.

Therefore, GCD of numbers 465, 414, 842, 573 is 1

Given Input Data is 465, 414, 842, 573

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 842 is 2 x 421

Prime Factorization of 573 is 3 x 191

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(465, 414) = 64170

GCD(465, 414) = ( 465 x 414 ) / 64170

GCD(465, 414) = 192510 / 64170

GCD(465, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 842

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

LCM(3, 842) = 2526

GCD(3, 842) = ( 3 x 842 ) / 2526

GCD(3, 842) = 2526 / 2526

GCD(3, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 573

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

LCM(1, 573) = 573

GCD(1, 573) = ( 1 x 573 ) / 573

GCD(1, 573) = 573 / 573

GCD(1, 573) = 1

GCD of 465, 414, 842, 573 is 1

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1. What is the GCD of 465, 414, 842, 573?

GCD of 465, 414, 842, 573 is 1

2. Where do I get the detailed procedure to find GCD of 465, 414, 842, 573?

You can find a detailed procedure to find GCD of 465, 414, 842, 573 on our page.

3. How to find GCD of 465, 414, 842, 573 on a calculator?

You can find the GCD of 465, 414, 842, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.