GCD of 856, 800, 267, 918 Calculator

Given Input numbers are 856, 800, 267, 918

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 856, 800, 267, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 800, 267, 918 is 1.

Therefore, GCD of numbers 856, 800, 267, 918 is 1

Given Input Data is 856, 800, 267, 918

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 267 is 3 x 89

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(856, 800) = 85600

GCD(856, 800) = ( 856 x 800 ) / 85600

GCD(856, 800) = 684800 / 85600

GCD(856, 800) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 267

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

LCM(8, 267) = 2136

GCD(8, 267) = ( 8 x 267 ) / 2136

GCD(8, 267) = 2136 / 2136

GCD(8, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 856, 800, 267, 918 is 1

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1. What is the GCD of 856, 800, 267, 918?

GCD of 856, 800, 267, 918 is 1

2. Where do I get the detailed procedure to find GCD of 856, 800, 267, 918?

You can find a detailed procedure to find GCD of 856, 800, 267, 918 on our page.

3. How to find GCD of 856, 800, 267, 918 on a calculator?

You can find the GCD of 856, 800, 267, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.