GCD of 874, 788, 66, 256 Calculator

Given Input numbers are 874, 788, 66, 256

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 874, 788, 66, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 788, 66, 256 is 2.

Therefore, GCD of numbers 874, 788, 66, 256 is 2

Given Input Data is 874, 788, 66, 256

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 66 is 2 x 3 x 11

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(874, 788) = 344356

GCD(874, 788) = ( 874 x 788 ) / 344356

GCD(874, 788) = 688712 / 344356

GCD(874, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

GCD of 874, 788, 66, 256 is 2

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1. What is the GCD of 874, 788, 66, 256?

GCD of 874, 788, 66, 256 is 2

2. Where do I get the detailed procedure to find GCD of 874, 788, 66, 256?

You can find a detailed procedure to find GCD of 874, 788, 66, 256 on our page.

3. How to find GCD of 874, 788, 66, 256 on a calculator?

You can find the GCD of 874, 788, 66, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.