GCD of 395, 559, 840, 846 Calculator

Given Input numbers are 395, 559, 840, 846

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 395, 559, 840, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 559, 840, 846 is 1.

Therefore, GCD of numbers 395, 559, 840, 846 is 1

Given Input Data is 395, 559, 840, 846

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 559 is 13 x 43

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(395, 559) = 220805

GCD(395, 559) = ( 395 x 559 ) / 220805

GCD(395, 559) = 220805 / 220805

GCD(395, 559) = 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 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 395, 559, 840, 846 is 1

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1. What is the GCD of 395, 559, 840, 846?

GCD of 395, 559, 840, 846 is 1

2. Where do I get the detailed procedure to find GCD of 395, 559, 840, 846?

You can find a detailed procedure to find GCD of 395, 559, 840, 846 on our page.

3. How to find GCD of 395, 559, 840, 846 on a calculator?

You can find the GCD of 395, 559, 840, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.