GCD of 712, 452, 28, 162 Calculator

Given Input numbers are 712, 452, 28, 162

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 712, 452, 28, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 452, 28, 162 is 2.

Therefore, GCD of numbers 712, 452, 28, 162 is 2

Given Input Data is 712, 452, 28, 162

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 28 is 2 x 2 x 7

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(712, 452) = 80456

GCD(712, 452) = ( 712 x 452 ) / 80456

GCD(712, 452) = 321824 / 80456

GCD(712, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 28

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

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

GCD(4, 28) = 112 / 28

GCD(4, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

GCD of 712, 452, 28, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 272, 71, 217
• GCD of 924, 620, 71, 161
• GCD of 839, 445, 82, 557
• GCD of 288, 827, 24, 892
• GCD of 371, 216, 94, 522

1. What is the GCD of 712, 452, 28, 162?

GCD of 712, 452, 28, 162 is 2

2. Where do I get the detailed procedure to find GCD of 712, 452, 28, 162?

You can find a detailed procedure to find GCD of 712, 452, 28, 162 on our page.

3. How to find GCD of 712, 452, 28, 162 on a calculator?

You can find the GCD of 712, 452, 28, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.