GCD of 827, 460, 625, 824 Calculator

Given Input numbers are 827, 460, 625, 824

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

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 827, 460, 625, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 460, 625, 824 is 1.

Therefore, GCD of numbers 827, 460, 625, 824 is 1

Given Input Data is 827, 460, 625, 824

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

Prime Factorization of 827 is 827

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(827, 460) = 380420

GCD(827, 460) = ( 827 x 460 ) / 380420

GCD(827, 460) = 380420 / 380420

GCD(827, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 827, 460, 625, 824 is 1

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1. What is the GCD of 827, 460, 625, 824?

GCD of 827, 460, 625, 824 is 1

2. Where do I get the detailed procedure to find GCD of 827, 460, 625, 824?

You can find a detailed procedure to find GCD of 827, 460, 625, 824 on our page.

3. How to find GCD of 827, 460, 625, 824 on a calculator?

You can find the GCD of 827, 460, 625, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.