GCD of 446, 166, 92, 972 Calculator

Given Input numbers are 446, 166, 92, 972

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 92

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

1, 2, 4, 23, 46, 92

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 446, 166, 92, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 166, 92, 972 is 2.

Therefore, GCD of numbers 446, 166, 92, 972 is 2

Given Input Data is 446, 166, 92, 972

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 166 is 2 x 83

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(446, 166) = 37018

GCD(446, 166) = ( 446 x 166 ) / 37018

GCD(446, 166) = 74036 / 37018

GCD(446, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

GCD of 446, 166, 92, 972 is 2

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1. What is the GCD of 446, 166, 92, 972?

GCD of 446, 166, 92, 972 is 2

2. Where do I get the detailed procedure to find GCD of 446, 166, 92, 972?

You can find a detailed procedure to find GCD of 446, 166, 92, 972 on our page.

3. How to find GCD of 446, 166, 92, 972 on a calculator?

You can find the GCD of 446, 166, 92, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.