GCD of 423, 990, 425, 757 Calculator

Given Input numbers are 423, 990, 425, 757

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 423, 990, 425, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 990, 425, 757 is 1.

Therefore, GCD of numbers 423, 990, 425, 757 is 1

Given Input Data is 423, 990, 425, 757

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

Prime Factorization of 423 is 3 x 3 x 47

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 757 is 757

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(423, 990) = 46530

GCD(423, 990) = ( 423 x 990 ) / 46530

GCD(423, 990) = 418770 / 46530

GCD(423, 990) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 425

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

LCM(9, 425) = 3825

GCD(9, 425) = ( 9 x 425 ) / 3825

GCD(9, 425) = 3825 / 3825

GCD(9, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 423, 990, 425, 757 is 1

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1. What is the GCD of 423, 990, 425, 757?

GCD of 423, 990, 425, 757 is 1

2. Where do I get the detailed procedure to find GCD of 423, 990, 425, 757?

You can find a detailed procedure to find GCD of 423, 990, 425, 757 on our page.

3. How to find GCD of 423, 990, 425, 757 on a calculator?

You can find the GCD of 423, 990, 425, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.