GCD of 164, 608, 938 Calculator

Given Input numbers are 164, 608, 938

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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 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 164, 608, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 608, 938 is 2.

Therefore, GCD of numbers 164, 608, 938 is 2

Given Input Data is 164, 608, 938

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

Prime Factorization of 164 is 2 x 2 x 41

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

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(164, 608) = 24928

GCD(164, 608) = ( 164 x 608 ) / 24928

GCD(164, 608) = 99712 / 24928

GCD(164, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 938

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

LCM(4, 938) = 1876

GCD(4, 938) = ( 4 x 938 ) / 1876

GCD(4, 938) = 3752 / 1876

GCD(4, 938) = 2

GCD of 164, 608, 938 is 2

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1. What is the GCD of 164, 608, 938?

GCD of 164, 608, 938 is 2

2. Where do I get the detailed procedure to find GCD of 164, 608, 938?

You can find a detailed procedure to find GCD of 164, 608, 938 on our page.

3. How to find GCD of 164, 608, 938 on a calculator?

You can find the GCD of 164, 608, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.