GCD of 138, 166, 250, 653 Calculator

Given Input numbers are 138, 166, 250, 653

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

Divisors of 138

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

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 138, 166, 250, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 166, 250, 653 is 1.

Therefore, GCD of numbers 138, 166, 250, 653 is 1

Given Input Data is 138, 166, 250, 653

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 166 is 2 x 83

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 653 is 653

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(138, 166) = 11454

GCD(138, 166) = ( 138 x 166 ) / 11454

GCD(138, 166) = 22908 / 11454

GCD(138, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

GCD of 138, 166, 250, 653 is 1

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• GCD of 807, 340, 661, 235
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1. What is the GCD of 138, 166, 250, 653?

GCD of 138, 166, 250, 653 is 1

2. Where do I get the detailed procedure to find GCD of 138, 166, 250, 653?

You can find a detailed procedure to find GCD of 138, 166, 250, 653 on our page.

3. How to find GCD of 138, 166, 250, 653 on a calculator?

You can find the GCD of 138, 166, 250, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.