GCD of 164, 372, 34, 932 Calculator

Given Input numbers are 164, 372, 34, 932

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 164, 372, 34, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 372, 34, 932 is 2.

Therefore, GCD of numbers 164, 372, 34, 932 is 2

Given Input Data is 164, 372, 34, 932

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 34 is 2 x 17

Prime Factorization of 932 is 2 x 2 x 233

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, 372) = 15252

GCD(164, 372) = ( 164 x 372 ) / 15252

GCD(164, 372) = 61008 / 15252

GCD(164, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 932

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

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

GCD(2, 932) = 1864 / 932

GCD(2, 932) = 2

GCD of 164, 372, 34, 932 is 2

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• GCD of 865, 828, 45, 962

1. What is the GCD of 164, 372, 34, 932?

GCD of 164, 372, 34, 932 is 2

2. Where do I get the detailed procedure to find GCD of 164, 372, 34, 932?

You can find a detailed procedure to find GCD of 164, 372, 34, 932 on our page.

3. How to find GCD of 164, 372, 34, 932 on a calculator?

You can find the GCD of 164, 372, 34, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.