GCD of 966, 237, 15, 360 Calculator

Given Input numbers are 966, 237, 15, 360

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

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 966, 237, 15, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 237, 15, 360 is 3.

Therefore, GCD of numbers 966, 237, 15, 360 is 3

Given Input Data is 966, 237, 15, 360

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

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 15 is 3 x 5

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(966, 237) = 76314

GCD(966, 237) = ( 966 x 237 ) / 76314

GCD(966, 237) = 228942 / 76314

GCD(966, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

GCD of 966, 237, 15, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 445, 53, 939
• GCD of 442, 934, 22, 939
• GCD of 924, 702, 52, 924
• GCD of 643, 379, 70, 967
• GCD of 321, 871, 28, 319

1. What is the GCD of 966, 237, 15, 360?

GCD of 966, 237, 15, 360 is 3

2. Where do I get the detailed procedure to find GCD of 966, 237, 15, 360?

You can find a detailed procedure to find GCD of 966, 237, 15, 360 on our page.

3. How to find GCD of 966, 237, 15, 360 on a calculator?

You can find the GCD of 966, 237, 15, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.