GCD of 596, 398, 60, 696 Calculator

Given Input numbers are 596, 398, 60, 696

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 596, 398, 60, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 398, 60, 696 is 2.

Therefore, GCD of numbers 596, 398, 60, 696 is 2

Given Input Data is 596, 398, 60, 696

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 398 is 2 x 199

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

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(596, 398) = 118604

GCD(596, 398) = ( 596 x 398 ) / 118604

GCD(596, 398) = 237208 / 118604

GCD(596, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 596, 398, 60, 696 is 2

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• GCD of 831, 347, 87, 731
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• GCD of 210, 499, 59, 684

1. What is the GCD of 596, 398, 60, 696?

GCD of 596, 398, 60, 696 is 2

2. Where do I get the detailed procedure to find GCD of 596, 398, 60, 696?

You can find a detailed procedure to find GCD of 596, 398, 60, 696 on our page.

3. How to find GCD of 596, 398, 60, 696 on a calculator?

You can find the GCD of 596, 398, 60, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.