GCD of 164, 656, 92, 448 Calculator

Given Input numbers are 164, 656, 92, 448

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 164, 656, 92, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 656, 92, 448 is 4.

Therefore, GCD of numbers 164, 656, 92, 448 is 4

Given Input Data is 164, 656, 92, 448

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 656) = 656

GCD(164, 656) = ( 164 x 656 ) / 656

GCD(164, 656) = 107584 / 656

GCD(164, 656) = 164

Step2:

Here we consider the GCD from the above i.e. 164 as first number and the next as 92

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

LCM(164, 92) = 3772

GCD(164, 92) = ( 164 x 92 ) / 3772

GCD(164, 92) = 15088 / 3772

GCD(164, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 448

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

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

GCD(4, 448) = 1792 / 448

GCD(4, 448) = 4

GCD of 164, 656, 92, 448 is 4

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• GCD of 282, 458, 43, 422
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• GCD of 652, 714, 37, 897

1. What is the GCD of 164, 656, 92, 448?

GCD of 164, 656, 92, 448 is 4

2. Where do I get the detailed procedure to find GCD of 164, 656, 92, 448?

You can find a detailed procedure to find GCD of 164, 656, 92, 448 on our page.

3. How to find GCD of 164, 656, 92, 448 on a calculator?

You can find the GCD of 164, 656, 92, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.