GCD of 909, 159, 252, 431 Calculator

Given Input numbers are 909, 159, 252, 431

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 909, 159, 252, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 159, 252, 431 is 1.

Therefore, GCD of numbers 909, 159, 252, 431 is 1

Given Input Data is 909, 159, 252, 431

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 159 is 3 x 53

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 431 is 431

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(909, 159) = 48177

GCD(909, 159) = ( 909 x 159 ) / 48177

GCD(909, 159) = 144531 / 48177

GCD(909, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 252

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

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

GCD(3, 252) = 756 / 252

GCD(3, 252) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 431

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

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

GCD(3, 431) = 1293 / 1293

GCD(3, 431) = 1

GCD of 909, 159, 252, 431 is 1

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1. What is the GCD of 909, 159, 252, 431?

GCD of 909, 159, 252, 431 is 1

2. Where do I get the detailed procedure to find GCD of 909, 159, 252, 431?

You can find a detailed procedure to find GCD of 909, 159, 252, 431 on our page.

3. How to find GCD of 909, 159, 252, 431 on a calculator?

You can find the GCD of 909, 159, 252, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.