GCD of 128, 314, 36, 151 Calculator

Given Input numbers are 128, 314, 36, 151

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 128, 314, 36, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 314, 36, 151 is 1.

Therefore, GCD of numbers 128, 314, 36, 151 is 1

Given Input Data is 128, 314, 36, 151

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 314 is 2 x 157

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 151 is 151

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(128, 314) = 20096

GCD(128, 314) = ( 128 x 314 ) / 20096

GCD(128, 314) = 40192 / 20096

GCD(128, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

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

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

GCD of 128, 314, 36, 151 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 940, 14, 453
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• GCD of 599, 751, 49, 312

1. What is the GCD of 128, 314, 36, 151?

GCD of 128, 314, 36, 151 is 1

2. Where do I get the detailed procedure to find GCD of 128, 314, 36, 151?

You can find a detailed procedure to find GCD of 128, 314, 36, 151 on our page.

3. How to find GCD of 128, 314, 36, 151 on a calculator?

You can find the GCD of 128, 314, 36, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.