GCD of 563, 931, 82, 704 Calculator

Given Input numbers are 563, 931, 82, 704

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 563, 931, 82, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 931, 82, 704 is 1.

Therefore, GCD of numbers 563, 931, 82, 704 is 1

Given Input Data is 563, 931, 82, 704

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

Prime Factorization of 563 is 563

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(563, 931) = 524153

GCD(563, 931) = ( 563 x 931 ) / 524153

GCD(563, 931) = 524153 / 524153

GCD(563, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 563, 931, 82, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 154, 71, 445
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• GCD of 216, 449, 30, 761
• GCD of 581, 461, 55, 243

1. What is the GCD of 563, 931, 82, 704?

GCD of 563, 931, 82, 704 is 1

2. Where do I get the detailed procedure to find GCD of 563, 931, 82, 704?

You can find a detailed procedure to find GCD of 563, 931, 82, 704 on our page.

3. How to find GCD of 563, 931, 82, 704 on a calculator?

You can find the GCD of 563, 931, 82, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.