GCD of 457, 205, 840, 844 Calculator

Given Input numbers are 457, 205, 840, 844

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 457, 205, 840, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 205, 840, 844 is 1.

Therefore, GCD of numbers 457, 205, 840, 844 is 1

Given Input Data is 457, 205, 840, 844

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

Prime Factorization of 457 is 457

Prime Factorization of 205 is 5 x 41

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 844 is 2 x 2 x 211

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(457, 205) = 93685

GCD(457, 205) = ( 457 x 205 ) / 93685

GCD(457, 205) = 93685 / 93685

GCD(457, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 457, 205, 840, 844 is 1

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1. What is the GCD of 457, 205, 840, 844?

GCD of 457, 205, 840, 844 is 1

2. Where do I get the detailed procedure to find GCD of 457, 205, 840, 844?

You can find a detailed procedure to find GCD of 457, 205, 840, 844 on our page.

3. How to find GCD of 457, 205, 840, 844 on a calculator?

You can find the GCD of 457, 205, 840, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.