GCD of 463, 362, 894, 920 Calculator

Given Input numbers are 463, 362, 894, 920

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 463, 362, 894, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 362, 894, 920 is 1.

Therefore, GCD of numbers 463, 362, 894, 920 is 1

Given Input Data is 463, 362, 894, 920

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

Prime Factorization of 463 is 463

Prime Factorization of 362 is 2 x 181

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(463, 362) = 167606

GCD(463, 362) = ( 463 x 362 ) / 167606

GCD(463, 362) = 167606 / 167606

GCD(463, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 463, 362, 894, 920 is 1

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1. What is the GCD of 463, 362, 894, 920?

GCD of 463, 362, 894, 920 is 1

2. Where do I get the detailed procedure to find GCD of 463, 362, 894, 920?

You can find a detailed procedure to find GCD of 463, 362, 894, 920 on our page.

3. How to find GCD of 463, 362, 894, 920 on a calculator?

You can find the GCD of 463, 362, 894, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.