GCD of 434, 544, 164, 162 Calculator

Given Input numbers are 434, 544, 164, 162

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 434, 544, 164, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 544, 164, 162 is 2.

Therefore, GCD of numbers 434, 544, 164, 162 is 2

Given Input Data is 434, 544, 164, 162

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 162 is 2 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(434, 544) = 118048

GCD(434, 544) = ( 434 x 544 ) / 118048

GCD(434, 544) = 236096 / 118048

GCD(434, 544) = 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 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 434, 544, 164, 162 is 2

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1. What is the GCD of 434, 544, 164, 162?

GCD of 434, 544, 164, 162 is 2

2. Where do I get the detailed procedure to find GCD of 434, 544, 164, 162?

You can find a detailed procedure to find GCD of 434, 544, 164, 162 on our page.

3. How to find GCD of 434, 544, 164, 162 on a calculator?

You can find the GCD of 434, 544, 164, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.