GCD of 596, 104, 420 Calculator

Given Input numbers are 596, 104, 420

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 596, 104, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 104, 420 is 4.

Therefore, GCD of numbers 596, 104, 420 is 4

Given Input Data is 596, 104, 420

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(596, 104) = 15496

GCD(596, 104) = ( 596 x 104 ) / 15496

GCD(596, 104) = 61984 / 15496

GCD(596, 104) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 420

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

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

GCD(4, 420) = 1680 / 420

GCD(4, 420) = 4

GCD of 596, 104, 420 is 4

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• GCD of 911, 556, 754
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1. What is the GCD of 596, 104, 420?

GCD of 596, 104, 420 is 4

2. Where do I get the detailed procedure to find GCD of 596, 104, 420?

You can find a detailed procedure to find GCD of 596, 104, 420 on our page.

3. How to find GCD of 596, 104, 420 on a calculator?

You can find the GCD of 596, 104, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.