GCD of 232, 610, 37, 138 Calculator

Given Input numbers are 232, 610, 37, 138

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 610

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

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 232, 610, 37, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 610, 37, 138 is 1.

Therefore, GCD of numbers 232, 610, 37, 138 is 1

Given Input Data is 232, 610, 37, 138

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 37 is 37

Prime Factorization of 138 is 2 x 3 x 23

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(232, 610) = 70760

GCD(232, 610) = ( 232 x 610 ) / 70760

GCD(232, 610) = 141520 / 70760

GCD(232, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 232, 610, 37, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 337, 26, 210
• GCD of 709, 997, 14, 423
• GCD of 762, 640, 21, 456
• GCD of 227, 655, 29, 941
• GCD of 492, 907, 73, 816

1. What is the GCD of 232, 610, 37, 138?

GCD of 232, 610, 37, 138 is 1

2. Where do I get the detailed procedure to find GCD of 232, 610, 37, 138?

You can find a detailed procedure to find GCD of 232, 610, 37, 138 on our page.

3. How to find GCD of 232, 610, 37, 138 on a calculator?

You can find the GCD of 232, 610, 37, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.