GCD of 188, 824, 68, 610 Calculator

Given Input numbers are 188, 824, 68, 610

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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 188, 824, 68, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 824, 68, 610 is 2.

Therefore, GCD of numbers 188, 824, 68, 610 is 2

Given Input Data is 188, 824, 68, 610

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 68 is 2 x 2 x 17

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(188, 824) = 38728

GCD(188, 824) = ( 188 x 824 ) / 38728

GCD(188, 824) = 154912 / 38728

GCD(188, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 610

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

LCM(4, 610) = 1220

GCD(4, 610) = ( 4 x 610 ) / 1220

GCD(4, 610) = 2440 / 1220

GCD(4, 610) = 2

GCD of 188, 824, 68, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 364, 80, 194
• GCD of 405, 398, 90, 611
• GCD of 886, 754, 35, 965
• GCD of 447, 946, 74, 243
• GCD of 589, 330, 71, 379

1. What is the GCD of 188, 824, 68, 610?

GCD of 188, 824, 68, 610 is 2

2. Where do I get the detailed procedure to find GCD of 188, 824, 68, 610?

You can find a detailed procedure to find GCD of 188, 824, 68, 610 on our page.

3. How to find GCD of 188, 824, 68, 610 on a calculator?

You can find the GCD of 188, 824, 68, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.