GCD of 918, 423, 509, 964 Calculator

Given Input numbers are 918, 423, 509, 964

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 918, 423, 509, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 423, 509, 964 is 1.

Therefore, GCD of numbers 918, 423, 509, 964 is 1

Given Input Data is 918, 423, 509, 964

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 509 is 509

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(918, 423) = 43146

GCD(918, 423) = ( 918 x 423 ) / 43146

GCD(918, 423) = 388314 / 43146

GCD(918, 423) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 509

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

LCM(9, 509) = 4581

GCD(9, 509) = ( 9 x 509 ) / 4581

GCD(9, 509) = 4581 / 4581

GCD(9, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 918, 423, 509, 964 is 1

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1. What is the GCD of 918, 423, 509, 964?

GCD of 918, 423, 509, 964 is 1

2. Where do I get the detailed procedure to find GCD of 918, 423, 509, 964?

You can find a detailed procedure to find GCD of 918, 423, 509, 964 on our page.

3. How to find GCD of 918, 423, 509, 964 on a calculator?

You can find the GCD of 918, 423, 509, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.