GCD of 212, 750, 421, 256 Calculator

Given Input numbers are 212, 750, 421, 256

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 212, 750, 421, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 750, 421, 256 is 1.

Therefore, GCD of numbers 212, 750, 421, 256 is 1

Given Input Data is 212, 750, 421, 256

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 421 is 421

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(212, 750) = 79500

GCD(212, 750) = ( 212 x 750 ) / 79500

GCD(212, 750) = 159000 / 79500

GCD(212, 750) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 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 212, 750, 421, 256 is 1

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1. What is the GCD of 212, 750, 421, 256?

GCD of 212, 750, 421, 256 is 1

2. Where do I get the detailed procedure to find GCD of 212, 750, 421, 256?

You can find a detailed procedure to find GCD of 212, 750, 421, 256 on our page.

3. How to find GCD of 212, 750, 421, 256 on a calculator?

You can find the GCD of 212, 750, 421, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.