GCD of 840, 459, 159, 696 Calculator

Given Input numbers are 840, 459, 159, 696

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 840, 459, 159, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 459, 159, 696 is 3.

Therefore, GCD of numbers 840, 459, 159, 696 is 3

Given Input Data is 840, 459, 159, 696

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 159 is 3 x 53

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 459) = 128520

GCD(840, 459) = ( 840 x 459 ) / 128520

GCD(840, 459) = 385560 / 128520

GCD(840, 459) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 159

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

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

GCD(3, 159) = 477 / 159

GCD(3, 159) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 840, 459, 159, 696 is 3

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1. What is the GCD of 840, 459, 159, 696?

GCD of 840, 459, 159, 696 is 3

2. Where do I get the detailed procedure to find GCD of 840, 459, 159, 696?

You can find a detailed procedure to find GCD of 840, 459, 159, 696 on our page.

3. How to find GCD of 840, 459, 159, 696 on a calculator?

You can find the GCD of 840, 459, 159, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.