GCD of 392, 506, 164, 132 Calculator

Given Input numbers are 392, 506, 164, 132

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 392, 506, 164, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 506, 164, 132 is 2.

Therefore, GCD of numbers 392, 506, 164, 132 is 2

Given Input Data is 392, 506, 164, 132

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(392, 506) = 99176

GCD(392, 506) = ( 392 x 506 ) / 99176

GCD(392, 506) = 198352 / 99176

GCD(392, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 392, 506, 164, 132 is 2

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1. What is the GCD of 392, 506, 164, 132?

GCD of 392, 506, 164, 132 is 2

2. Where do I get the detailed procedure to find GCD of 392, 506, 164, 132?

You can find a detailed procedure to find GCD of 392, 506, 164, 132 on our page.

3. How to find GCD of 392, 506, 164, 132 on a calculator?

You can find the GCD of 392, 506, 164, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.