GCD of 949, 286, 40, 856 Calculator

Given Input numbers are 949, 286, 40, 856

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 856

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

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

Greatest Common Divisior

We found the divisors of 949, 286, 40, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 286, 40, 856 is 1.

Therefore, GCD of numbers 949, 286, 40, 856 is 1

Given Input Data is 949, 286, 40, 856

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

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(949, 286) = 20878

GCD(949, 286) = ( 949 x 286 ) / 20878

GCD(949, 286) = 271414 / 20878

GCD(949, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 40

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

LCM(13, 40) = 520

GCD(13, 40) = ( 13 x 40 ) / 520

GCD(13, 40) = 520 / 520

GCD(13, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 949, 286, 40, 856 is 1

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1. What is the GCD of 949, 286, 40, 856?

GCD of 949, 286, 40, 856 is 1

2. Where do I get the detailed procedure to find GCD of 949, 286, 40, 856?

You can find a detailed procedure to find GCD of 949, 286, 40, 856 on our page.

3. How to find GCD of 949, 286, 40, 856 on a calculator?

You can find the GCD of 949, 286, 40, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.