GCD of 72, 162, 267, 174 Calculator

Given Input numbers are 72, 162, 267, 174

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 72, 162, 267, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 162, 267, 174 is 3.

Therefore, GCD of numbers 72, 162, 267, 174 is 3

Given Input Data is 72, 162, 267, 174

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 174 is 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(72, 162) = 648

GCD(72, 162) = ( 72 x 162 ) / 648

GCD(72, 162) = 11664 / 648

GCD(72, 162) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 267

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

LCM(18, 267) = 1602

GCD(18, 267) = ( 18 x 267 ) / 1602

GCD(18, 267) = 4806 / 1602

GCD(18, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 174

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

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

GCD(3, 174) = 522 / 174

GCD(3, 174) = 3

GCD of 72, 162, 267, 174 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 698, 776, 449
• GCD of 40, 999, 439, 336
• GCD of 95, 300, 499, 527
• GCD of 39, 936, 328, 400
• GCD of 33, 456, 919, 333

1. What is the GCD of 72, 162, 267, 174?

GCD of 72, 162, 267, 174 is 3

2. Where do I get the detailed procedure to find GCD of 72, 162, 267, 174?

You can find a detailed procedure to find GCD of 72, 162, 267, 174 on our page.

3. How to find GCD of 72, 162, 267, 174 on a calculator?

You can find the GCD of 72, 162, 267, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.