GCD of 28, 164, 764, 162 Calculator

Given Input numbers are 28, 164, 764, 162

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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 28, 164, 764, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 164, 764, 162 is 2.

Therefore, GCD of numbers 28, 164, 764, 162 is 2

Given Input Data is 28, 164, 764, 162

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 764 is 2 x 2 x 191

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(28, 164) = 1148

GCD(28, 164) = ( 28 x 164 ) / 1148

GCD(28, 164) = 4592 / 1148

GCD(28, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 764

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

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

GCD(4, 764) = 3056 / 764

GCD(4, 764) = 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 28, 164, 764, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 936, 207, 530
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• GCD of 85, 769, 550, 829
• GCD of 64, 592, 606, 666
• GCD of 47, 320, 503, 400

1. What is the GCD of 28, 164, 764, 162?

GCD of 28, 164, 764, 162 is 2

2. Where do I get the detailed procedure to find GCD of 28, 164, 764, 162?

You can find a detailed procedure to find GCD of 28, 164, 764, 162 on our page.

3. How to find GCD of 28, 164, 764, 162 on a calculator?

You can find the GCD of 28, 164, 764, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.