GCD of 563, 235, 900, 538 Calculator

Given Input numbers are 563, 235, 900, 538

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 563, 235, 900, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 235, 900, 538 is 1.

Therefore, GCD of numbers 563, 235, 900, 538 is 1

Given Input Data is 563, 235, 900, 538

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

Prime Factorization of 563 is 563

Prime Factorization of 235 is 5 x 47

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 538 is 2 x 269

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, 235) = 132305

GCD(563, 235) = ( 563 x 235 ) / 132305

GCD(563, 235) = 132305 / 132305

GCD(563, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 563, 235, 900, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 835, 553, 208
• GCD of 570, 846, 136, 674
• GCD of 853, 489, 211, 104
• GCD of 560, 440, 216, 123
• GCD of 471, 987, 253, 153

1. What is the GCD of 563, 235, 900, 538?

GCD of 563, 235, 900, 538 is 1

2. Where do I get the detailed procedure to find GCD of 563, 235, 900, 538?

You can find a detailed procedure to find GCD of 563, 235, 900, 538 on our page.

3. How to find GCD of 563, 235, 900, 538 on a calculator?

You can find the GCD of 563, 235, 900, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.