GCD of 862, 257, 422, 300 Calculator

Given Input numbers are 862, 257, 422, 300

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 862, 257, 422, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 257, 422, 300 is 1.

Therefore, GCD of numbers 862, 257, 422, 300 is 1

Given Input Data is 862, 257, 422, 300

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 257 is 257

Prime Factorization of 422 is 2 x 211

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(862, 257) = 221534

GCD(862, 257) = ( 862 x 257 ) / 221534

GCD(862, 257) = 221534 / 221534

GCD(862, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 862, 257, 422, 300 is 1

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1. What is the GCD of 862, 257, 422, 300?

GCD of 862, 257, 422, 300 is 1

2. Where do I get the detailed procedure to find GCD of 862, 257, 422, 300?

You can find a detailed procedure to find GCD of 862, 257, 422, 300 on our page.

3. How to find GCD of 862, 257, 422, 300 on a calculator?

You can find the GCD of 862, 257, 422, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.