GCD of 816, 220, 534, 321 Calculator

Given Input numbers are 816, 220, 534, 321

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 816, 220, 534, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 220, 534, 321 is 1.

Therefore, GCD of numbers 816, 220, 534, 321 is 1

Given Input Data is 816, 220, 534, 321

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 321 is 3 x 107

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(816, 220) = 44880

GCD(816, 220) = ( 816 x 220 ) / 44880

GCD(816, 220) = 179520 / 44880

GCD(816, 220) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 534

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

LCM(4, 534) = 1068

GCD(4, 534) = ( 4 x 534 ) / 1068

GCD(4, 534) = 2136 / 1068

GCD(4, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

GCD of 816, 220, 534, 321 is 1

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• GCD of 415, 663, 325, 914
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1. What is the GCD of 816, 220, 534, 321?

GCD of 816, 220, 534, 321 is 1

2. Where do I get the detailed procedure to find GCD of 816, 220, 534, 321?

You can find a detailed procedure to find GCD of 816, 220, 534, 321 on our page.

3. How to find GCD of 816, 220, 534, 321 on a calculator?

You can find the GCD of 816, 220, 534, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.