GCD of 315, 390, 66, 987 Calculator

Given Input numbers are 315, 390, 66, 987

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 315, 390, 66, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 390, 66, 987 is 3.

Therefore, GCD of numbers 315, 390, 66, 987 is 3

Given Input Data is 315, 390, 66, 987

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 987 is 3 x 7 x 47

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(315, 390) = 8190

GCD(315, 390) = ( 315 x 390 ) / 8190

GCD(315, 390) = 122850 / 8190

GCD(315, 390) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 66

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

LCM(15, 66) = 330

GCD(15, 66) = ( 15 x 66 ) / 330

GCD(15, 66) = 990 / 330

GCD(15, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 987

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

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

GCD(3, 987) = 2961 / 987

GCD(3, 987) = 3

GCD of 315, 390, 66, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 779, 13, 544
• GCD of 119, 342, 46, 144
• GCD of 467, 775, 38, 110
• GCD of 134, 759, 11, 851
• GCD of 856, 672, 16, 656

1. What is the GCD of 315, 390, 66, 987?

GCD of 315, 390, 66, 987 is 3

2. Where do I get the detailed procedure to find GCD of 315, 390, 66, 987?

You can find a detailed procedure to find GCD of 315, 390, 66, 987 on our page.

3. How to find GCD of 315, 390, 66, 987 on a calculator?

You can find the GCD of 315, 390, 66, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.