GCD of 526, 104, 53, 321 Calculator

Given Input numbers are 526, 104, 53, 321

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 526, 104, 53, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 104, 53, 321 is 1.

Therefore, GCD of numbers 526, 104, 53, 321 is 1

Given Input Data is 526, 104, 53, 321

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 53 is 53

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(526, 104) = 27352

GCD(526, 104) = ( 526 x 104 ) / 27352

GCD(526, 104) = 54704 / 27352

GCD(526, 104) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 526, 104, 53, 321 is 1

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1. What is the GCD of 526, 104, 53, 321?

GCD of 526, 104, 53, 321 is 1

2. Where do I get the detailed procedure to find GCD of 526, 104, 53, 321?

You can find a detailed procedure to find GCD of 526, 104, 53, 321 on our page.

3. How to find GCD of 526, 104, 53, 321 on a calculator?

You can find the GCD of 526, 104, 53, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.