GCD of 393, 902, 147, 150 Calculator

Given Input numbers are 393, 902, 147, 150

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 393, 902, 147, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 902, 147, 150 is 1.

Therefore, GCD of numbers 393, 902, 147, 150 is 1

Given Input Data is 393, 902, 147, 150

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 147 is 3 x 7 x 7

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(393, 902) = 354486

GCD(393, 902) = ( 393 x 902 ) / 354486

GCD(393, 902) = 354486 / 354486

GCD(393, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

Step3:

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 393, 902, 147, 150 is 1

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1. What is the GCD of 393, 902, 147, 150?

GCD of 393, 902, 147, 150 is 1

2. Where do I get the detailed procedure to find GCD of 393, 902, 147, 150?

You can find a detailed procedure to find GCD of 393, 902, 147, 150 on our page.

3. How to find GCD of 393, 902, 147, 150 on a calculator?

You can find the GCD of 393, 902, 147, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.