GCD of 408, 162, 76, 174 Calculator

Given Input numbers are 408, 162, 76, 174

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 408, 162, 76, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 162, 76, 174 is 2.

Therefore, GCD of numbers 408, 162, 76, 174 is 2

Given Input Data is 408, 162, 76, 174

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 174 is 2 x 3 x 29

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(408, 162) = 11016

GCD(408, 162) = ( 408 x 162 ) / 11016

GCD(408, 162) = 66096 / 11016

GCD(408, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 408, 162, 76, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 314, 40, 866
• GCD of 427, 769, 39, 881
• GCD of 967, 173, 18, 554
• GCD of 752, 232, 75, 306
• GCD of 245, 795, 17, 415

1. What is the GCD of 408, 162, 76, 174?

GCD of 408, 162, 76, 174 is 2

2. Where do I get the detailed procedure to find GCD of 408, 162, 76, 174?

You can find a detailed procedure to find GCD of 408, 162, 76, 174 on our page.

3. How to find GCD of 408, 162, 76, 174 on a calculator?

You can find the GCD of 408, 162, 76, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.