GCD of 563, 760, 31, 893 Calculator

Given Input numbers are 563, 760, 31, 893

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 563, 760, 31, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 760, 31, 893 is 1.

Therefore, GCD of numbers 563, 760, 31, 893 is 1

Given Input Data is 563, 760, 31, 893

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

Prime Factorization of 563 is 563

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 31 is 31

Prime Factorization of 893 is 19 x 47

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, 760) = 427880

GCD(563, 760) = ( 563 x 760 ) / 427880

GCD(563, 760) = 427880 / 427880

GCD(563, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 563, 760, 31, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 420, 22, 228
• GCD of 821, 392, 59, 132
• GCD of 807, 274, 72, 159
• GCD of 595, 320, 23, 264
• GCD of 402, 249, 77, 639

1. What is the GCD of 563, 760, 31, 893?

GCD of 563, 760, 31, 893 is 1

2. Where do I get the detailed procedure to find GCD of 563, 760, 31, 893?

You can find a detailed procedure to find GCD of 563, 760, 31, 893 on our page.

3. How to find GCD of 563, 760, 31, 893 on a calculator?

You can find the GCD of 563, 760, 31, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.