GCD of 598, 898, 20, 712 Calculator

Given Input numbers are 598, 898, 20, 712

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 598, 898, 20, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 898, 20, 712 is 2.

Therefore, GCD of numbers 598, 898, 20, 712 is 2

Given Input Data is 598, 898, 20, 712

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 898 is 2 x 449

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(598, 898) = 268502

GCD(598, 898) = ( 598 x 898 ) / 268502

GCD(598, 898) = 537004 / 268502

GCD(598, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 598, 898, 20, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 789, 15, 229
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• GCD of 945, 142, 63, 397
• GCD of 456, 526, 70, 933

1. What is the GCD of 598, 898, 20, 712?

GCD of 598, 898, 20, 712 is 2

2. Where do I get the detailed procedure to find GCD of 598, 898, 20, 712?

You can find a detailed procedure to find GCD of 598, 898, 20, 712 on our page.

3. How to find GCD of 598, 898, 20, 712 on a calculator?

You can find the GCD of 598, 898, 20, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.