GCD of 265, 765, 822, 563 Calculator

Given Input numbers are 265, 765, 822, 563

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 563

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

1, 563

Greatest Common Divisior

We found the divisors of 265, 765, 822, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 765, 822, 563 is 1.

Therefore, GCD of numbers 265, 765, 822, 563 is 1

Given Input Data is 265, 765, 822, 563

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 563 is 563

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(265, 765) = 40545

GCD(265, 765) = ( 265 x 765 ) / 40545

GCD(265, 765) = 202725 / 40545

GCD(265, 765) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 822

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

LCM(5, 822) = 4110

GCD(5, 822) = ( 5 x 822 ) / 4110

GCD(5, 822) = 4110 / 4110

GCD(5, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 265, 765, 822, 563 is 1

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1. What is the GCD of 265, 765, 822, 563?

GCD of 265, 765, 822, 563 is 1

2. Where do I get the detailed procedure to find GCD of 265, 765, 822, 563?

You can find a detailed procedure to find GCD of 265, 765, 822, 563 on our page.

3. How to find GCD of 265, 765, 822, 563 on a calculator?

You can find the GCD of 265, 765, 822, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.