GCD of 820, 325, 898, 827 Calculator

Given Input numbers are 820, 325, 898, 827

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 827

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

1, 827

Greatest Common Divisior

We found the divisors of 820, 325, 898, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 325, 898, 827 is 1.

Therefore, GCD of numbers 820, 325, 898, 827 is 1

Given Input Data is 820, 325, 898, 827

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 898 is 2 x 449

Prime Factorization of 827 is 827

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(820, 325) = 53300

GCD(820, 325) = ( 820 x 325 ) / 53300

GCD(820, 325) = 266500 / 53300

GCD(820, 325) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 898

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

LCM(5, 898) = 4490

GCD(5, 898) = ( 5 x 898 ) / 4490

GCD(5, 898) = 4490 / 4490

GCD(5, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 820, 325, 898, 827 is 1

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1. What is the GCD of 820, 325, 898, 827?

GCD of 820, 325, 898, 827 is 1

2. Where do I get the detailed procedure to find GCD of 820, 325, 898, 827?

You can find a detailed procedure to find GCD of 820, 325, 898, 827 on our page.

3. How to find GCD of 820, 325, 898, 827 on a calculator?

You can find the GCD of 820, 325, 898, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.