GCD of 909, 495, 345, 964 Calculator

Given Input numbers are 909, 495, 345, 964

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 909, 495, 345, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 495, 345, 964 is 1.

Therefore, GCD of numbers 909, 495, 345, 964 is 1

Given Input Data is 909, 495, 345, 964

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 495 is 3 x 3 x 5 x 11

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 964 is 2 x 2 x 241

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, 495) = 49995

GCD(909, 495) = ( 909 x 495 ) / 49995

GCD(909, 495) = 449955 / 49995

GCD(909, 495) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 345

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

LCM(9, 345) = 1035

GCD(9, 345) = ( 9 x 345 ) / 1035

GCD(9, 345) = 3105 / 1035

GCD(9, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 964

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

LCM(3, 964) = 2892

GCD(3, 964) = ( 3 x 964 ) / 2892

GCD(3, 964) = 2892 / 2892

GCD(3, 964) = 1

GCD of 909, 495, 345, 964 is 1

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• GCD of 665, 418, 185, 269
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1. What is the GCD of 909, 495, 345, 964?

GCD of 909, 495, 345, 964 is 1

2. Where do I get the detailed procedure to find GCD of 909, 495, 345, 964?

You can find a detailed procedure to find GCD of 909, 495, 345, 964 on our page.

3. How to find GCD of 909, 495, 345, 964 on a calculator?

You can find the GCD of 909, 495, 345, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.