GCD of 240, 166, 583, 362 Calculator

Given Input numbers are 240, 166, 583, 362

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 166

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

1, 2, 83, 166

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 240, 166, 583, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 166, 583, 362 is 1.

Therefore, GCD of numbers 240, 166, 583, 362 is 1

Given Input Data is 240, 166, 583, 362

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 166 is 2 x 83

Prime Factorization of 583 is 11 x 53

Prime Factorization of 362 is 2 x 181

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(240, 166) = 19920

GCD(240, 166) = ( 240 x 166 ) / 19920

GCD(240, 166) = 39840 / 19920

GCD(240, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 240, 166, 583, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 523, 442, 151
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• GCD of 628, 540, 154, 690

1. What is the GCD of 240, 166, 583, 362?

GCD of 240, 166, 583, 362 is 1

2. Where do I get the detailed procedure to find GCD of 240, 166, 583, 362?

You can find a detailed procedure to find GCD of 240, 166, 583, 362 on our page.

3. How to find GCD of 240, 166, 583, 362 on a calculator?

You can find the GCD of 240, 166, 583, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.