GCD of 624, 772, 427, 299 Calculator

Given Input numbers are 624, 772, 427, 299

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 624, 772, 427, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 772, 427, 299 is 1.

Therefore, GCD of numbers 624, 772, 427, 299 is 1

Given Input Data is 624, 772, 427, 299

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 427 is 7 x 61

Prime Factorization of 299 is 13 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(624, 772) = 120432

GCD(624, 772) = ( 624 x 772 ) / 120432

GCD(624, 772) = 481728 / 120432

GCD(624, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 427

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

LCM(4, 427) = 1708

GCD(4, 427) = ( 4 x 427 ) / 1708

GCD(4, 427) = 1708 / 1708

GCD(4, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 624, 772, 427, 299 is 1

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• GCD of 519, 292, 893, 627
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1. What is the GCD of 624, 772, 427, 299?

GCD of 624, 772, 427, 299 is 1

2. Where do I get the detailed procedure to find GCD of 624, 772, 427, 299?

You can find a detailed procedure to find GCD of 624, 772, 427, 299 on our page.

3. How to find GCD of 624, 772, 427, 299 on a calculator?

You can find the GCD of 624, 772, 427, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.