GCD of 34, 332, 125, 256 Calculator

Given Input numbers are 34, 332, 125, 256

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 34, 332, 125, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 332, 125, 256 is 1.

Therefore, GCD of numbers 34, 332, 125, 256 is 1

Given Input Data is 34, 332, 125, 256

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(34, 332) = 5644

GCD(34, 332) = ( 34 x 332 ) / 5644

GCD(34, 332) = 11288 / 5644

GCD(34, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 34, 332, 125, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 207, 421, 991
• GCD of 71, 672, 840, 450
• GCD of 52, 120, 628, 924
• GCD of 53, 832, 459, 187
• GCD of 71, 934, 935, 135

1. What is the GCD of 34, 332, 125, 256?

GCD of 34, 332, 125, 256 is 1

2. Where do I get the detailed procedure to find GCD of 34, 332, 125, 256?

You can find a detailed procedure to find GCD of 34, 332, 125, 256 on our page.

3. How to find GCD of 34, 332, 125, 256 on a calculator?

You can find the GCD of 34, 332, 125, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.