GCD of 563, 522, 58, 274 Calculator

Given Input numbers are 563, 522, 58, 274

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 563, 522, 58, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 522, 58, 274 is 1.

Therefore, GCD of numbers 563, 522, 58, 274 is 1

Given Input Data is 563, 522, 58, 274

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

Prime Factorization of 563 is 563

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 58 is 2 x 29

Prime Factorization of 274 is 2 x 137

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, 522) = 293886

GCD(563, 522) = ( 563 x 522 ) / 293886

GCD(563, 522) = 293886 / 293886

GCD(563, 522) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 563, 522, 58, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 654, 66, 554
• GCD of 771, 834, 16, 450
• GCD of 193, 103, 40, 858
• GCD of 445, 661, 88, 562
• GCD of 698, 252, 38, 537

1. What is the GCD of 563, 522, 58, 274?

GCD of 563, 522, 58, 274 is 1

2. Where do I get the detailed procedure to find GCD of 563, 522, 58, 274?

You can find a detailed procedure to find GCD of 563, 522, 58, 274 on our page.

3. How to find GCD of 563, 522, 58, 274 on a calculator?

You can find the GCD of 563, 522, 58, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.