GCD of 50, 250, 735, 256 Calculator

Given Input numbers are 50, 250, 735, 256

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 50, 250, 735, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 250, 735, 256 is 1.

Therefore, GCD of numbers 50, 250, 735, 256 is 1

Given Input Data is 50, 250, 735, 256

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(50, 250) = 250

GCD(50, 250) = ( 50 x 250 ) / 250

GCD(50, 250) = 12500 / 250

GCD(50, 250) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 735

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

LCM(50, 735) = 7350

GCD(50, 735) = ( 50 x 735 ) / 7350

GCD(50, 735) = 36750 / 7350

GCD(50, 735) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 256

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

LCM(5, 256) = 1280

GCD(5, 256) = ( 5 x 256 ) / 1280

GCD(5, 256) = 1280 / 1280

GCD(5, 256) = 1

GCD of 50, 250, 735, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 657, 563, 830
• GCD of 49, 997, 458, 651
• GCD of 18, 127, 182, 432
• GCD of 12, 636, 408, 186
• GCD of 36, 655, 813, 950

1. What is the GCD of 50, 250, 735, 256?

GCD of 50, 250, 735, 256 is 1

2. Where do I get the detailed procedure to find GCD of 50, 250, 735, 256?

You can find a detailed procedure to find GCD of 50, 250, 735, 256 on our page.

3. How to find GCD of 50, 250, 735, 256 on a calculator?

You can find the GCD of 50, 250, 735, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.