GCD of 596, 124, 264, 146 Calculator

Given Input numbers are 596, 124, 264, 146

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 596, 124, 264, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 124, 264, 146 is 2.

Therefore, GCD of numbers 596, 124, 264, 146 is 2

Given Input Data is 596, 124, 264, 146

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 146 is 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(596, 124) = 18476

GCD(596, 124) = ( 596 x 124 ) / 18476

GCD(596, 124) = 73904 / 18476

GCD(596, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 264

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

LCM(4, 264) = 264

GCD(4, 264) = ( 4 x 264 ) / 264

GCD(4, 264) = 1056 / 264

GCD(4, 264) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 146

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

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

GCD(4, 146) = 584 / 292

GCD(4, 146) = 2

GCD of 596, 124, 264, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 925, 289, 594
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• GCD of 964, 760, 667, 337

1. What is the GCD of 596, 124, 264, 146?

GCD of 596, 124, 264, 146 is 2

2. Where do I get the detailed procedure to find GCD of 596, 124, 264, 146?

You can find a detailed procedure to find GCD of 596, 124, 264, 146 on our page.

3. How to find GCD of 596, 124, 264, 146 on a calculator?

You can find the GCD of 596, 124, 264, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.