GCD of 806, 172, 921, 460 Calculator

Given Input numbers are 806, 172, 921, 460

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 806, 172, 921, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 172, 921, 460 is 1.

Therefore, GCD of numbers 806, 172, 921, 460 is 1

Given Input Data is 806, 172, 921, 460

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 921 is 3 x 307

Prime Factorization of 460 is 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(806, 172) = 69316

GCD(806, 172) = ( 806 x 172 ) / 69316

GCD(806, 172) = 138632 / 69316

GCD(806, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 806, 172, 921, 460 is 1

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• GCD of 340, 166, 693, 507
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1. What is the GCD of 806, 172, 921, 460?

GCD of 806, 172, 921, 460 is 1

2. Where do I get the detailed procedure to find GCD of 806, 172, 921, 460?

You can find a detailed procedure to find GCD of 806, 172, 921, 460 on our page.

3. How to find GCD of 806, 172, 921, 460 on a calculator?

You can find the GCD of 806, 172, 921, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.