GCD of 975, 895, 66, 216 Calculator

Given Input numbers are 975, 895, 66, 216

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 975, 895, 66, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 895, 66, 216 is 1.

Therefore, GCD of numbers 975, 895, 66, 216 is 1

Given Input Data is 975, 895, 66, 216

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 895 is 5 x 179

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(975, 895) = 174525

GCD(975, 895) = ( 975 x 895 ) / 174525

GCD(975, 895) = 872625 / 174525

GCD(975, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 66

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

LCM(5, 66) = 330

GCD(5, 66) = ( 5 x 66 ) / 330

GCD(5, 66) = 330 / 330

GCD(5, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 975, 895, 66, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 815, 76, 332
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• GCD of 191, 104, 23, 745

1. What is the GCD of 975, 895, 66, 216?

GCD of 975, 895, 66, 216 is 1

2. Where do I get the detailed procedure to find GCD of 975, 895, 66, 216?

You can find a detailed procedure to find GCD of 975, 895, 66, 216 on our page.

3. How to find GCD of 975, 895, 66, 216 on a calculator?

You can find the GCD of 975, 895, 66, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.