GCD of 940, 954, 39, 806 Calculator

Given Input numbers are 940, 954, 39, 806

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 940, 954, 39, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 954, 39, 806 is 1.

Therefore, GCD of numbers 940, 954, 39, 806 is 1

Given Input Data is 940, 954, 39, 806

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 806 is 2 x 13 x 31

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(940, 954) = 448380

GCD(940, 954) = ( 940 x 954 ) / 448380

GCD(940, 954) = 896760 / 448380

GCD(940, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 940, 954, 39, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 756, 15, 326
• GCD of 483, 817, 93, 330
• GCD of 356, 549, 64, 303
• GCD of 849, 505, 84, 960
• GCD of 254, 110, 57, 304

1. What is the GCD of 940, 954, 39, 806?

GCD of 940, 954, 39, 806 is 1

2. Where do I get the detailed procedure to find GCD of 940, 954, 39, 806?

You can find a detailed procedure to find GCD of 940, 954, 39, 806 on our page.

3. How to find GCD of 940, 954, 39, 806 on a calculator?

You can find the GCD of 940, 954, 39, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.