GCD of 30, 264, 466, 953 Calculator

Given Input numbers are 30, 264, 466, 953

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

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 30, 264, 466, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 264, 466, 953 is 1.

Therefore, GCD of numbers 30, 264, 466, 953 is 1

Given Input Data is 30, 264, 466, 953

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 466 is 2 x 233

Prime Factorization of 953 is 953

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(30, 264) = 1320

GCD(30, 264) = ( 30 x 264 ) / 1320

GCD(30, 264) = 7920 / 1320

GCD(30, 264) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 466

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

LCM(6, 466) = 1398

GCD(6, 466) = ( 6 x 466 ) / 1398

GCD(6, 466) = 2796 / 1398

GCD(6, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

GCD of 30, 264, 466, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 157, 826, 514
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• GCD of 47, 320, 466, 897
• GCD of 38, 825, 129, 115

1. What is the GCD of 30, 264, 466, 953?

GCD of 30, 264, 466, 953 is 1

2. Where do I get the detailed procedure to find GCD of 30, 264, 466, 953?

You can find a detailed procedure to find GCD of 30, 264, 466, 953 on our page.

3. How to find GCD of 30, 264, 466, 953 on a calculator?

You can find the GCD of 30, 264, 466, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.