GCD of 608, 728, 938 Calculator

Given Input numbers are 608, 728, 938

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 938

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

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

Greatest Common Divisior

We found the divisors of 608, 728, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 728, 938 is 2.

Therefore, GCD of numbers 608, 728, 938 is 2

Given Input Data is 608, 728, 938

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 938 is 2 x 7 x 67

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(608, 728) = 55328

GCD(608, 728) = ( 608 x 728 ) / 55328

GCD(608, 728) = 442624 / 55328

GCD(608, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 938

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

LCM(8, 938) = 3752

GCD(8, 938) = ( 8 x 938 ) / 3752

GCD(8, 938) = 7504 / 3752

GCD(8, 938) = 2

GCD of 608, 728, 938 is 2

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1. What is the GCD of 608, 728, 938?

GCD of 608, 728, 938 is 2

2. Where do I get the detailed procedure to find GCD of 608, 728, 938?

You can find a detailed procedure to find GCD of 608, 728, 938 on our page.

3. How to find GCD of 608, 728, 938 on a calculator?

You can find the GCD of 608, 728, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.