GCD of 598, 306, 87, 996 Calculator

Given Input numbers are 598, 306, 87, 996

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 598, 306, 87, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 306, 87, 996 is 1.

Therefore, GCD of numbers 598, 306, 87, 996 is 1

Given Input Data is 598, 306, 87, 996

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(598, 306) = 91494

GCD(598, 306) = ( 598 x 306 ) / 91494

GCD(598, 306) = 182988 / 91494

GCD(598, 306) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 598, 306, 87, 996 is 1

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• GCD of 984, 588, 54, 874
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1. What is the GCD of 598, 306, 87, 996?

GCD of 598, 306, 87, 996 is 1

2. Where do I get the detailed procedure to find GCD of 598, 306, 87, 996?

You can find a detailed procedure to find GCD of 598, 306, 87, 996 on our page.

3. How to find GCD of 598, 306, 87, 996 on a calculator?

You can find the GCD of 598, 306, 87, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.