GCD of 262, 527, 563, 502 Calculator

Given Input numbers are 262, 527, 563, 502

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 563

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

1, 563

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 262, 527, 563, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 527, 563, 502 is 1.

Therefore, GCD of numbers 262, 527, 563, 502 is 1

Given Input Data is 262, 527, 563, 502

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 527 is 17 x 31

Prime Factorization of 563 is 563

Prime Factorization of 502 is 2 x 251

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(262, 527) = 138074

GCD(262, 527) = ( 262 x 527 ) / 138074

GCD(262, 527) = 138074 / 138074

GCD(262, 527) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 262, 527, 563, 502 is 1

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1. What is the GCD of 262, 527, 563, 502?

GCD of 262, 527, 563, 502 is 1

2. Where do I get the detailed procedure to find GCD of 262, 527, 563, 502?

You can find a detailed procedure to find GCD of 262, 527, 563, 502 on our page.

3. How to find GCD of 262, 527, 563, 502 on a calculator?

You can find the GCD of 262, 527, 563, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.