GCD of 18, 678, 582, 610 Calculator

Given Input numbers are 18, 678, 582, 610

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 18, 678, 582, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 678, 582, 610 is 2.

Therefore, GCD of numbers 18, 678, 582, 610 is 2

Given Input Data is 18, 678, 582, 610

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 610 is 2 x 5 x 61

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(18, 678) = 2034

GCD(18, 678) = ( 18 x 678 ) / 2034

GCD(18, 678) = 12204 / 2034

GCD(18, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 582

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

LCM(6, 582) = 582

GCD(6, 582) = ( 6 x 582 ) / 582

GCD(6, 582) = 3492 / 582

GCD(6, 582) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 610

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

LCM(6, 610) = 1830

GCD(6, 610) = ( 6 x 610 ) / 1830

GCD(6, 610) = 3660 / 1830

GCD(6, 610) = 2

GCD of 18, 678, 582, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 899, 175, 113
• GCD of 73, 981, 293, 632
• GCD of 84, 671, 896, 933
• GCD of 79, 260, 664, 181
• GCD of 93, 124, 998, 551

1. What is the GCD of 18, 678, 582, 610?

GCD of 18, 678, 582, 610 is 2

2. Where do I get the detailed procedure to find GCD of 18, 678, 582, 610?

You can find a detailed procedure to find GCD of 18, 678, 582, 610 on our page.

3. How to find GCD of 18, 678, 582, 610 on a calculator?

You can find the GCD of 18, 678, 582, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.