GCD of 975, 810, 30, 912 Calculator

Given Input numbers are 975, 810, 30, 912

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 975, 810, 30, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 810, 30, 912 is 3.

Therefore, GCD of numbers 975, 810, 30, 912 is 3

Given Input Data is 975, 810, 30, 912

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 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(975, 810) = 52650

GCD(975, 810) = ( 975 x 810 ) / 52650

GCD(975, 810) = 789750 / 52650

GCD(975, 810) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 30

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

LCM(15, 30) = 30

GCD(15, 30) = ( 15 x 30 ) / 30

GCD(15, 30) = 450 / 30

GCD(15, 30) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 912

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

LCM(15, 912) = 4560

GCD(15, 912) = ( 15 x 912 ) / 4560

GCD(15, 912) = 13680 / 4560

GCD(15, 912) = 3

GCD of 975, 810, 30, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 496, 18, 294
• GCD of 677, 302, 22, 179
• GCD of 757, 756, 92, 269
• GCD of 765, 221, 49, 775
• GCD of 185, 493, 34, 351

1. What is the GCD of 975, 810, 30, 912?

GCD of 975, 810, 30, 912 is 3

2. Where do I get the detailed procedure to find GCD of 975, 810, 30, 912?

You can find a detailed procedure to find GCD of 975, 810, 30, 912 on our page.

3. How to find GCD of 975, 810, 30, 912 on a calculator?

You can find the GCD of 975, 810, 30, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.