GCD of 821, 160, 587, 442 Calculator

Given Input numbers are 821, 160, 587, 442

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 821, 160, 587, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 160, 587, 442 is 1.

Therefore, GCD of numbers 821, 160, 587, 442 is 1

Given Input Data is 821, 160, 587, 442

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

Prime Factorization of 821 is 821

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 587 is 587

Prime Factorization of 442 is 2 x 13 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(821, 160) = 131360

GCD(821, 160) = ( 821 x 160 ) / 131360

GCD(821, 160) = 131360 / 131360

GCD(821, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 821, 160, 587, 442 is 1

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• GCD of 264, 917, 118, 544
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• GCD of 521, 271, 746, 411

1. What is the GCD of 821, 160, 587, 442?

GCD of 821, 160, 587, 442 is 1

2. Where do I get the detailed procedure to find GCD of 821, 160, 587, 442?

You can find a detailed procedure to find GCD of 821, 160, 587, 442 on our page.

3. How to find GCD of 821, 160, 587, 442 on a calculator?

You can find the GCD of 821, 160, 587, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.