GCD of 975, 457, 894, 990 Calculator

Given Input numbers are 975, 457, 894, 990

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 975, 457, 894, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 457, 894, 990 is 1.

Therefore, GCD of numbers 975, 457, 894, 990 is 1

Given Input Data is 975, 457, 894, 990

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 457 is 457

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 457) = 445575

GCD(975, 457) = ( 975 x 457 ) / 445575

GCD(975, 457) = 445575 / 445575

GCD(975, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 975, 457, 894, 990 is 1

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1. What is the GCD of 975, 457, 894, 990?

GCD of 975, 457, 894, 990 is 1

2. Where do I get the detailed procedure to find GCD of 975, 457, 894, 990?

You can find a detailed procedure to find GCD of 975, 457, 894, 990 on our page.

3. How to find GCD of 975, 457, 894, 990 on a calculator?

You can find the GCD of 975, 457, 894, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.