GCD of 870, 675, 27, 963 Calculator

Given Input numbers are 870, 675, 27, 963

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 870, 675, 27, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 675, 27, 963 is 3.

Therefore, GCD of numbers 870, 675, 27, 963 is 3

Given Input Data is 870, 675, 27, 963

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 963 is 3 x 3 x 107

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(870, 675) = 39150

GCD(870, 675) = ( 870 x 675 ) / 39150

GCD(870, 675) = 587250 / 39150

GCD(870, 675) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 27

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

LCM(15, 27) = 135

GCD(15, 27) = ( 15 x 27 ) / 135

GCD(15, 27) = 405 / 135

GCD(15, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3

GCD of 870, 675, 27, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 823, 58, 641
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• GCD of 891, 148, 29, 308

1. What is the GCD of 870, 675, 27, 963?

GCD of 870, 675, 27, 963 is 3

2. Where do I get the detailed procedure to find GCD of 870, 675, 27, 963?

You can find a detailed procedure to find GCD of 870, 675, 27, 963 on our page.

3. How to find GCD of 870, 675, 27, 963 on a calculator?

You can find the GCD of 870, 675, 27, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.