GCD of 509, 392, 752, 624 Calculator

Given Input numbers are 509, 392, 752, 624

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

Greatest Common Divisior

We found the divisors of 509, 392, 752, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 392, 752, 624 is 1.

Therefore, GCD of numbers 509, 392, 752, 624 is 1

Given Input Data is 509, 392, 752, 624

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

Prime Factorization of 509 is 509

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

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(509, 392) = 199528

GCD(509, 392) = ( 509 x 392 ) / 199528

GCD(509, 392) = 199528 / 199528

GCD(509, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 509, 392, 752, 624 is 1

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• GCD of 777, 627, 558, 383
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1. What is the GCD of 509, 392, 752, 624?

GCD of 509, 392, 752, 624 is 1

2. Where do I get the detailed procedure to find GCD of 509, 392, 752, 624?

You can find a detailed procedure to find GCD of 509, 392, 752, 624 on our page.

3. How to find GCD of 509, 392, 752, 624 on a calculator?

You can find the GCD of 509, 392, 752, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.