GCD of 938, 592, 408, 576 Calculator

Given Input numbers are 938, 592, 408, 576

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 938, 592, 408, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 592, 408, 576 is 2.

Therefore, GCD of numbers 938, 592, 408, 576 is 2

Given Input Data is 938, 592, 408, 576

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(938, 592) = 277648

GCD(938, 592) = ( 938 x 592 ) / 277648

GCD(938, 592) = 555296 / 277648

GCD(938, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 938, 592, 408, 576 is 2

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1. What is the GCD of 938, 592, 408, 576?

GCD of 938, 592, 408, 576 is 2

2. Where do I get the detailed procedure to find GCD of 938, 592, 408, 576?

You can find a detailed procedure to find GCD of 938, 592, 408, 576 on our page.

3. How to find GCD of 938, 592, 408, 576 on a calculator?

You can find the GCD of 938, 592, 408, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.