GCD of 999, 690, 154, 457 Calculator

Given Input numbers are 999, 690, 154, 457

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 457

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

1, 457

Greatest Common Divisior

We found the divisors of 999, 690, 154, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 690, 154, 457 is 1.

Therefore, GCD of numbers 999, 690, 154, 457 is 1

Given Input Data is 999, 690, 154, 457

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 457 is 457

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(999, 690) = 229770

GCD(999, 690) = ( 999 x 690 ) / 229770

GCD(999, 690) = 689310 / 229770

GCD(999, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 999, 690, 154, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 866, 955, 108
• GCD of 579, 176, 613, 675
• GCD of 177, 542, 370, 314
• GCD of 651, 128, 210, 575
• GCD of 889, 511, 833, 173

1. What is the GCD of 999, 690, 154, 457?

GCD of 999, 690, 154, 457 is 1

2. Where do I get the detailed procedure to find GCD of 999, 690, 154, 457?

You can find a detailed procedure to find GCD of 999, 690, 154, 457 on our page.

3. How to find GCD of 999, 690, 154, 457 on a calculator?

You can find the GCD of 999, 690, 154, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.