GCD of 269, 120, 150 Calculator

Given Input numbers are 269, 120, 150

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 269, 120, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 120, 150 is 1.

Therefore, GCD of numbers 269, 120, 150 is 1

Given Input Data is 269, 120, 150

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

Prime Factorization of 269 is 269

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(269, 120) = 32280

GCD(269, 120) = ( 269 x 120 ) / 32280

GCD(269, 120) = 32280 / 32280

GCD(269, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 269, 120, 150 is 1

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1. What is the GCD of 269, 120, 150?

GCD of 269, 120, 150 is 1

2. Where do I get the detailed procedure to find GCD of 269, 120, 150?

You can find a detailed procedure to find GCD of 269, 120, 150 on our page.

3. How to find GCD of 269, 120, 150 on a calculator?

You can find the GCD of 269, 120, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.