GCD of 840, 406, 578, 818 Calculator

Given Input numbers are 840, 406, 578, 818

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

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 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 840, 406, 578, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 406, 578, 818 is 2.

Therefore, GCD of numbers 840, 406, 578, 818 is 2

Given Input Data is 840, 406, 578, 818

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

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 818 is 2 x 409

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(840, 406) = 24360

GCD(840, 406) = ( 840 x 406 ) / 24360

GCD(840, 406) = 341040 / 24360

GCD(840, 406) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 578

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

LCM(14, 578) = 4046

GCD(14, 578) = ( 14 x 578 ) / 4046

GCD(14, 578) = 8092 / 4046

GCD(14, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 818

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

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

GCD(2, 818) = 1636 / 818

GCD(2, 818) = 2

GCD of 840, 406, 578, 818 is 2

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1. What is the GCD of 840, 406, 578, 818?

GCD of 840, 406, 578, 818 is 2

2. Where do I get the detailed procedure to find GCD of 840, 406, 578, 818?

You can find a detailed procedure to find GCD of 840, 406, 578, 818 on our page.

3. How to find GCD of 840, 406, 578, 818 on a calculator?

You can find the GCD of 840, 406, 578, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.