GCD of 923, 264, 21, 614 Calculator

Given Input numbers are 923, 264, 21, 614

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

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 21

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

1, 3, 7, 21

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 923, 264, 21, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 264, 21, 614 is 1.

Therefore, GCD of numbers 923, 264, 21, 614 is 1

Given Input Data is 923, 264, 21, 614

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

Prime Factorization of 923 is 13 x 71

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 614 is 2 x 307

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(923, 264) = 243672

GCD(923, 264) = ( 923 x 264 ) / 243672

GCD(923, 264) = 243672 / 243672

GCD(923, 264) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 923, 264, 21, 614 is 1

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• GCD of 847, 258, 22, 752
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• GCD of 162, 684, 84, 788

1. What is the GCD of 923, 264, 21, 614?

GCD of 923, 264, 21, 614 is 1

2. Where do I get the detailed procedure to find GCD of 923, 264, 21, 614?

You can find a detailed procedure to find GCD of 923, 264, 21, 614 on our page.

3. How to find GCD of 923, 264, 21, 614 on a calculator?

You can find the GCD of 923, 264, 21, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.