GCD of 820, 557, 248, 321 Calculator

Given Input numbers are 820, 557, 248, 321

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

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 820, 557, 248, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 557, 248, 321 is 1.

Therefore, GCD of numbers 820, 557, 248, 321 is 1

Given Input Data is 820, 557, 248, 321

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 557 is 557

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(820, 557) = 456740

GCD(820, 557) = ( 820 x 557 ) / 456740

GCD(820, 557) = 456740 / 456740

GCD(820, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 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 820, 557, 248, 321 is 1

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1. What is the GCD of 820, 557, 248, 321?

GCD of 820, 557, 248, 321 is 1

2. Where do I get the detailed procedure to find GCD of 820, 557, 248, 321?

You can find a detailed procedure to find GCD of 820, 557, 248, 321 on our page.

3. How to find GCD of 820, 557, 248, 321 on a calculator?

You can find the GCD of 820, 557, 248, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.