GCD of 824, 670, 871, 256 Calculator

Given Input numbers are 824, 670, 871, 256

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

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 824, 670, 871, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 670, 871, 256 is 1.

Therefore, GCD of numbers 824, 670, 871, 256 is 1

Given Input Data is 824, 670, 871, 256

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 871 is 13 x 67

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(824, 670) = 276040

GCD(824, 670) = ( 824 x 670 ) / 276040

GCD(824, 670) = 552080 / 276040

GCD(824, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 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 824, 670, 871, 256 is 1

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1. What is the GCD of 824, 670, 871, 256?

GCD of 824, 670, 871, 256 is 1

2. Where do I get the detailed procedure to find GCD of 824, 670, 871, 256?

You can find a detailed procedure to find GCD of 824, 670, 871, 256 on our page.

3. How to find GCD of 824, 670, 871, 256 on a calculator?

You can find the GCD of 824, 670, 871, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.