GCD of 940, 165, 867, 998 Calculator

Given Input numbers are 940, 165, 867, 998

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 940, 165, 867, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 165, 867, 998 is 1.

Therefore, GCD of numbers 940, 165, 867, 998 is 1

Given Input Data is 940, 165, 867, 998

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 165 is 3 x 5 x 11

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 998 is 2 x 499

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, 165) = 31020

GCD(940, 165) = ( 940 x 165 ) / 31020

GCD(940, 165) = 155100 / 31020

GCD(940, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 867

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

LCM(5, 867) = 4335

GCD(5, 867) = ( 5 x 867 ) / 4335

GCD(5, 867) = 4335 / 4335

GCD(5, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 940, 165, 867, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 222, 204, 942
• GCD of 159, 869, 877, 363
• GCD of 250, 270, 791, 317
• GCD of 399, 836, 204, 107
• GCD of 278, 718, 114, 111

1. What is the GCD of 940, 165, 867, 998?

GCD of 940, 165, 867, 998 is 1

2. Where do I get the detailed procedure to find GCD of 940, 165, 867, 998?

You can find a detailed procedure to find GCD of 940, 165, 867, 998 on our page.

3. How to find GCD of 940, 165, 867, 998 on a calculator?

You can find the GCD of 940, 165, 867, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.