GCD of 922, 264, 744, 499 Calculator

Given Input numbers are 922, 264, 744, 499

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 922, 264, 744, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 264, 744, 499 is 1.

Therefore, GCD of numbers 922, 264, 744, 499 is 1

Given Input Data is 922, 264, 744, 499

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

Prime Factorization of 922 is 2 x 461

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 499 is 499

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(922, 264) = 121704

GCD(922, 264) = ( 922 x 264 ) / 121704

GCD(922, 264) = 243408 / 121704

GCD(922, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

GCD of 922, 264, 744, 499 is 1

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1. What is the GCD of 922, 264, 744, 499?

GCD of 922, 264, 744, 499 is 1

2. Where do I get the detailed procedure to find GCD of 922, 264, 744, 499?

You can find a detailed procedure to find GCD of 922, 264, 744, 499 on our page.

3. How to find GCD of 922, 264, 744, 499 on a calculator?

You can find the GCD of 922, 264, 744, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.