GCD of 321, 776, 51, 564 Calculator

Given Input numbers are 321, 776, 51, 564

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 321, 776, 51, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 776, 51, 564 is 1.

Therefore, GCD of numbers 321, 776, 51, 564 is 1

Given Input Data is 321, 776, 51, 564

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 51 is 3 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(321, 776) = 249096

GCD(321, 776) = ( 321 x 776 ) / 249096

GCD(321, 776) = 249096 / 249096

GCD(321, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 321, 776, 51, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 945, 81, 249
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• GCD of 899, 968, 95, 329

1. What is the GCD of 321, 776, 51, 564?

GCD of 321, 776, 51, 564 is 1

2. Where do I get the detailed procedure to find GCD of 321, 776, 51, 564?

You can find a detailed procedure to find GCD of 321, 776, 51, 564 on our page.

3. How to find GCD of 321, 776, 51, 564 on a calculator?

You can find the GCD of 321, 776, 51, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.