GCD of 321, 410, 564, 708 Calculator

Given Input numbers are 321, 410, 564, 708

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 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 321, 410, 564, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 410, 564, 708 is 1.

Therefore, GCD of numbers 321, 410, 564, 708 is 1

Given Input Data is 321, 410, 564, 708

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 410 is 2 x 5 x 41

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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, 410) = 131610

GCD(321, 410) = ( 321 x 410 ) / 131610

GCD(321, 410) = 131610 / 131610

GCD(321, 410) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 321, 410, 564, 708 is 1

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1. What is the GCD of 321, 410, 564, 708?

GCD of 321, 410, 564, 708 is 1

2. Where do I get the detailed procedure to find GCD of 321, 410, 564, 708?

You can find a detailed procedure to find GCD of 321, 410, 564, 708 on our page.

3. How to find GCD of 321, 410, 564, 708 on a calculator?

You can find the GCD of 321, 410, 564, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.