GCD of 150, 328, 264, 101 Calculator

Given Input numbers are 150, 328, 264, 101

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 150, 328, 264, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 328, 264, 101 is 1.

Therefore, GCD of numbers 150, 328, 264, 101 is 1

Given Input Data is 150, 328, 264, 101

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 101 is 101

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, 328) = 24600

GCD(150, 328) = ( 150 x 328 ) / 24600

GCD(150, 328) = 49200 / 24600

GCD(150, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 101

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

LCM(2, 101) = 202

GCD(2, 101) = ( 2 x 101 ) / 202

GCD(2, 101) = 202 / 202

GCD(2, 101) = 1

GCD of 150, 328, 264, 101 is 1

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1. What is the GCD of 150, 328, 264, 101?

GCD of 150, 328, 264, 101 is 1

2. Where do I get the detailed procedure to find GCD of 150, 328, 264, 101?

You can find a detailed procedure to find GCD of 150, 328, 264, 101 on our page.

3. How to find GCD of 150, 328, 264, 101 on a calculator?

You can find the GCD of 150, 328, 264, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.