GCD of 253, 924, 30, 630 Calculator

Given Input numbers are 253, 924, 30, 630

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

Divisors of 253

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

1, 11, 23, 253

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 253, 924, 30, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 924, 30, 630 is 1.

Therefore, GCD of numbers 253, 924, 30, 630 is 1

Given Input Data is 253, 924, 30, 630

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(253, 924) = 21252

GCD(253, 924) = ( 253 x 924 ) / 21252

GCD(253, 924) = 233772 / 21252

GCD(253, 924) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 30

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

LCM(11, 30) = 330

GCD(11, 30) = ( 11 x 30 ) / 330

GCD(11, 30) = 330 / 330

GCD(11, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 253, 924, 30, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 976, 90, 500
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• GCD of 322, 866, 47, 802
• GCD of 385, 877, 41, 780

1. What is the GCD of 253, 924, 30, 630?

GCD of 253, 924, 30, 630 is 1

2. Where do I get the detailed procedure to find GCD of 253, 924, 30, 630?

You can find a detailed procedure to find GCD of 253, 924, 30, 630 on our page.

3. How to find GCD of 253, 924, 30, 630 on a calculator?

You can find the GCD of 253, 924, 30, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.