GCD of 240, 160, 22, 299 Calculator

Given Input numbers are 240, 160, 22, 299

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 240, 160, 22, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 160, 22, 299 is 1.

Therefore, GCD of numbers 240, 160, 22, 299 is 1

Given Input Data is 240, 160, 22, 299

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 299 is 13 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(240, 160) = 480

GCD(240, 160) = ( 240 x 160 ) / 480

GCD(240, 160) = 38400 / 480

GCD(240, 160) = 80

Step2:

Here we consider the GCD from the above i.e. 80 as first number and the next as 22

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

LCM(80, 22) = 880

GCD(80, 22) = ( 80 x 22 ) / 880

GCD(80, 22) = 1760 / 880

GCD(80, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 240, 160, 22, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 775, 53, 810
• GCD of 268, 711, 82, 741
• GCD of 185, 455, 38, 659
• GCD of 762, 575, 93, 473
• GCD of 200, 918, 83, 736

1. What is the GCD of 240, 160, 22, 299?

GCD of 240, 160, 22, 299 is 1

2. Where do I get the detailed procedure to find GCD of 240, 160, 22, 299?

You can find a detailed procedure to find GCD of 240, 160, 22, 299 on our page.

3. How to find GCD of 240, 160, 22, 299 on a calculator?

You can find the GCD of 240, 160, 22, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.