GCD of 256, 847, 120 Calculator

Given Input numbers are 256, 847, 120

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

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 256, 847, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 847, 120 is 1.

Therefore, GCD of numbers 256, 847, 120 is 1

Given Input Data is 256, 847, 120

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

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(256, 847) = 216832

GCD(256, 847) = ( 256 x 847 ) / 216832

GCD(256, 847) = 216832 / 216832

GCD(256, 847) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 256, 847, 120 is 1

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• GCD of 308, 697, 139
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1. What is the GCD of 256, 847, 120?

GCD of 256, 847, 120 is 1

2. Where do I get the detailed procedure to find GCD of 256, 847, 120?

You can find a detailed procedure to find GCD of 256, 847, 120 on our page.

3. How to find GCD of 256, 847, 120 on a calculator?

You can find the GCD of 256, 847, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.