GCD of 827, 104, 310, 562 Calculator

Given Input numbers are 827, 104, 310, 562

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 827, 104, 310, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 104, 310, 562 is 1.

Therefore, GCD of numbers 827, 104, 310, 562 is 1

Given Input Data is 827, 104, 310, 562

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

Prime Factorization of 827 is 827

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 562 is 2 x 281

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(827, 104) = 86008

GCD(827, 104) = ( 827 x 104 ) / 86008

GCD(827, 104) = 86008 / 86008

GCD(827, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 827, 104, 310, 562 is 1

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1. What is the GCD of 827, 104, 310, 562?

GCD of 827, 104, 310, 562 is 1

2. Where do I get the detailed procedure to find GCD of 827, 104, 310, 562?

You can find a detailed procedure to find GCD of 827, 104, 310, 562 on our page.

3. How to find GCD of 827, 104, 310, 562 on a calculator?

You can find the GCD of 827, 104, 310, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.