GCD of 506, 496, 625, 729 Calculator

Given Input numbers are 506, 496, 625, 729

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (506, 496, 625, 729) = 1.

Given numbers are 506, 496, 625, 729

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 506, 496, 625, 729

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

Apply this formula for all numbers.

Step1:

LCM(506, 496) = 125488

GCD(506, 496) = ( 506 x 496 ) / 125488

= 506 / 496

= 506

Step2:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 506, 496, 625, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 654, 959, 101
• GCD of 687, 237, 336, 459
• GCD of 288, 463, 846, 763
• GCD of 378, 604, 444, 102
• GCD of 502, 698, 213, 290

Given numbers are 506, 496, 625, 729
The greatest common divisor of numbers 506, 496, 625, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 496, 625, 729 is 1.

1. What is the GCD of 506, 496, 625, 729?

GCD of given numbers 506, 496, 625, 729 is 1

2. How to calculate the greatest common divisor of 506, 496, 625, 729?

We can find the highest common divisor of 506, 496, 625, 729 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, 496, 625, 729 i.e 1.

3. How can I use the GCD of 506, 496, 625, 729Calculator?

Out the numbers 506, 496, 625, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.