GCD of 318, 579, 945, 146 Calculator

Given Input numbers are 318, 579, 945, 146

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 318, 579, 945, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 579, 945, 146 is 1.

Therefore, GCD of numbers 318, 579, 945, 146 is 1

Given Input Data is 318, 579, 945, 146

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 579 is 3 x 193

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 146 is 2 x 73

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(318, 579) = 61374

GCD(318, 579) = ( 318 x 579 ) / 61374

GCD(318, 579) = 184122 / 61374

GCD(318, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 146

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

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

GCD(3, 146) = 438 / 438

GCD(3, 146) = 1

GCD of 318, 579, 945, 146 is 1

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1. What is the GCD of 318, 579, 945, 146?

GCD of 318, 579, 945, 146 is 1

2. Where do I get the detailed procedure to find GCD of 318, 579, 945, 146?

You can find a detailed procedure to find GCD of 318, 579, 945, 146 on our page.

3. How to find GCD of 318, 579, 945, 146 on a calculator?

You can find the GCD of 318, 579, 945, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.