GCD of 990, 141, 21, 253 Calculator

Given Input numbers are 990, 141, 21, 253

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

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 990, 141, 21, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 141, 21, 253 is 1.

Therefore, GCD of numbers 990, 141, 21, 253 is 1

Given Input Data is 990, 141, 21, 253

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

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 253 is 11 x 23

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(990, 141) = 46530

GCD(990, 141) = ( 990 x 141 ) / 46530

GCD(990, 141) = 139590 / 46530

GCD(990, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 253

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

LCM(3, 253) = 759

GCD(3, 253) = ( 3 x 253 ) / 759

GCD(3, 253) = 759 / 759

GCD(3, 253) = 1

GCD of 990, 141, 21, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 127, 31, 729
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• GCD of 369, 446, 40, 460
• GCD of 869, 897, 63, 125
• GCD of 327, 606, 52, 872

1. What is the GCD of 990, 141, 21, 253?

GCD of 990, 141, 21, 253 is 1

2. Where do I get the detailed procedure to find GCD of 990, 141, 21, 253?

You can find a detailed procedure to find GCD of 990, 141, 21, 253 on our page.

3. How to find GCD of 990, 141, 21, 253 on a calculator?

You can find the GCD of 990, 141, 21, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.