GCD of 624, 501, 52, 414 Calculator

Given Input numbers are 624, 501, 52, 414

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 624, 501, 52, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 501, 52, 414 is 1.

Therefore, GCD of numbers 624, 501, 52, 414 is 1

Given Input Data is 624, 501, 52, 414

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 501 is 3 x 167

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 414 is 2 x 3 x 3 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, 501) = 104208

GCD(624, 501) = ( 624 x 501 ) / 104208

GCD(624, 501) = 312624 / 104208

GCD(624, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 52

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

LCM(3, 52) = 156

GCD(3, 52) = ( 3 x 52 ) / 156

GCD(3, 52) = 156 / 156

GCD(3, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 624, 501, 52, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 258, 70, 778
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• GCD of 241, 611, 90, 344
• GCD of 867, 680, 38, 140

1. What is the GCD of 624, 501, 52, 414?

GCD of 624, 501, 52, 414 is 1

2. Where do I get the detailed procedure to find GCD of 624, 501, 52, 414?

You can find a detailed procedure to find GCD of 624, 501, 52, 414 on our page.

3. How to find GCD of 624, 501, 52, 414 on a calculator?

You can find the GCD of 624, 501, 52, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.