GCD of 428, 508, 265, 162 Calculator

Given Input numbers are 428, 508, 265, 162

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

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 428, 508, 265, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 508, 265, 162 is 1.

Therefore, GCD of numbers 428, 508, 265, 162 is 1

Given Input Data is 428, 508, 265, 162

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 265 is 5 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

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(428, 508) = 54356

GCD(428, 508) = ( 428 x 508 ) / 54356

GCD(428, 508) = 217424 / 54356

GCD(428, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 428, 508, 265, 162 is 1

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1. What is the GCD of 428, 508, 265, 162?

GCD of 428, 508, 265, 162 is 1

2. Where do I get the detailed procedure to find GCD of 428, 508, 265, 162?

You can find a detailed procedure to find GCD of 428, 508, 265, 162 on our page.

3. How to find GCD of 428, 508, 265, 162 on a calculator?

You can find the GCD of 428, 508, 265, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.