GCD of 150, 322, 214, 211 Calculator

Given Input numbers are 150, 322, 214, 211

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

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 150, 322, 214, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 322, 214, 211 is 1.

Therefore, GCD of numbers 150, 322, 214, 211 is 1

Given Input Data is 150, 322, 214, 211

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

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 214 is 2 x 107

Prime Factorization of 211 is 211

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(150, 322) = 24150

GCD(150, 322) = ( 150 x 322 ) / 24150

GCD(150, 322) = 48300 / 24150

GCD(150, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

GCD of 150, 322, 214, 211 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 841, 600, 568
• GCD of 144, 206, 696, 445
• GCD of 591, 117, 708, 804
• GCD of 152, 475, 693, 933
• GCD of 887, 197, 884, 666

1. What is the GCD of 150, 322, 214, 211?

GCD of 150, 322, 214, 211 is 1

2. Where do I get the detailed procedure to find GCD of 150, 322, 214, 211?

You can find a detailed procedure to find GCD of 150, 322, 214, 211 on our page.

3. How to find GCD of 150, 322, 214, 211 on a calculator?

You can find the GCD of 150, 322, 214, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.