GCD of 336, 942, 405, 528 Calculator

Given Input numbers are 336, 942, 405, 528

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 336, 942, 405, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 942, 405, 528 is 3.

Therefore, GCD of numbers 336, 942, 405, 528 is 3

Given Input Data is 336, 942, 405, 528

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(336, 942) = 52752

GCD(336, 942) = ( 336 x 942 ) / 52752

GCD(336, 942) = 316512 / 52752

GCD(336, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 405

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

LCM(6, 405) = 810

GCD(6, 405) = ( 6 x 405 ) / 810

GCD(6, 405) = 2430 / 810

GCD(6, 405) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 528

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

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

GCD(3, 528) = 1584 / 528

GCD(3, 528) = 3

GCD of 336, 942, 405, 528 is 3

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1. What is the GCD of 336, 942, 405, 528?

GCD of 336, 942, 405, 528 is 3

2. Where do I get the detailed procedure to find GCD of 336, 942, 405, 528?

You can find a detailed procedure to find GCD of 336, 942, 405, 528 on our page.

3. How to find GCD of 336, 942, 405, 528 on a calculator?

You can find the GCD of 336, 942, 405, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.