GCD of 506, 628, 624, 717 Calculator

Given Input numbers are 506, 628, 624, 717

In the factoring method, we have to find the divisors of all numbers

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (506, 628, 624, 717) = 1.

Given numbers are 506, 628, 624, 717

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 628 are 2 x 2 x 157

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 717 are 3 x 239

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 506, 628, 624, 717

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(506, 628) = 158884

GCD(506, 628) = ( 506 x 628 ) / 158884

= 506 / 628

= 506

Step2:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

Step3:

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

= 2 / 717

= 2

So, Greatest Common Divisor of 506, 628, 624, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 948, 303, 285
• GCD of 402, 239, 819, 445
• GCD of 590, 298, 935, 756
• GCD of 958, 282, 229, 976
• GCD of 582, 135, 839, 340

Given numbers are 506, 628, 624, 717
The greatest common divisor of numbers 506, 628, 624, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 628, 624, 717 is 1.

1. What is the GCD of 506, 628, 624, 717?

GCD of given numbers 506, 628, 624, 717 is 1

2. How to calculate the greatest common divisor of 506, 628, 624, 717?

We can find the highest common divisor of 506, 628, 624, 717 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 506, 628, 624, 717 i.e 1.

3. How can I use the GCD of 506, 628, 624, 717Calculator?

Out the numbers 506, 628, 624, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.