GCD of 40, 615, 144, 966 Calculator

Given Input numbers are 40, 615, 144, 966

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

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 40, 615, 144, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 615, 144, 966 is 1.

Therefore, GCD of numbers 40, 615, 144, 966 is 1

Given Input Data is 40, 615, 144, 966

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

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(40, 615) = 4920

GCD(40, 615) = ( 40 x 615 ) / 4920

GCD(40, 615) = 24600 / 4920

GCD(40, 615) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 144

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

LCM(5, 144) = 720

GCD(5, 144) = ( 5 x 144 ) / 720

GCD(5, 144) = 720 / 720

GCD(5, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 40, 615, 144, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 507, 378, 859
• GCD of 16, 932, 646, 674
• GCD of 16, 691, 869, 345
• GCD of 55, 302, 380, 754
• GCD of 31, 364, 168, 232

1. What is the GCD of 40, 615, 144, 966?

GCD of 40, 615, 144, 966 is 1

2. Where do I get the detailed procedure to find GCD of 40, 615, 144, 966?

You can find a detailed procedure to find GCD of 40, 615, 144, 966 on our page.

3. How to find GCD of 40, 615, 144, 966 on a calculator?

You can find the GCD of 40, 615, 144, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.