GCD of 998, 606, 460 Calculator

Given Input numbers are 998, 606, 460

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 998, 606, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 606, 460 is 2.

Therefore, GCD of numbers 998, 606, 460 is 2

Given Input Data is 998, 606, 460

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(998, 606) = 302394

GCD(998, 606) = ( 998 x 606 ) / 302394

GCD(998, 606) = 604788 / 302394

GCD(998, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

GCD of 998, 606, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 831, 185
• GCD of 464, 649, 327
• GCD of 952, 170, 117
• GCD of 120, 477, 889
• GCD of 649, 155, 312

1. What is the GCD of 998, 606, 460?

GCD of 998, 606, 460 is 2

2. Where do I get the detailed procedure to find GCD of 998, 606, 460?

You can find a detailed procedure to find GCD of 998, 606, 460 on our page.

3. How to find GCD of 998, 606, 460 on a calculator?

You can find the GCD of 998, 606, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.