GCD of 504, 726, 30, 472 Calculator

Given Input numbers are 504, 726, 30, 472

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (504, 726, 30, 472) = 2.

Given numbers are 504, 726, 30, 472

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 30 are 2 x 3 x 5

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 504, 726, 30, 472 is 2.

Given numbers are 504, 726, 30, 472

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

Apply this formula for all numbers.

Step1:

LCM(504, 726) = 60984

GCD(504, 726) = ( 504 x 726 ) / 60984

= 504 / 726

= 504

Step2:

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

= 6 / 30

= 6

Step3:

LCM(6, 472) = 1416

GCD(6, 472) = ( 6 x 472 ) / 1416

= 6 / 472

= 6

So, Greatest Common Divisor of 504, 726, 30, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 716, 62, 864
• GCD of 170, 555, 13, 727
• GCD of 987, 892, 10, 303
• GCD of 533, 434, 87, 721
• GCD of 115, 992, 56, 572

Given numbers are 504, 726, 30, 472
The greatest common divisor of numbers 504, 726, 30, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 726, 30, 472 is 2.

1. What is the GCD of 504, 726, 30, 472?

GCD of given numbers 504, 726, 30, 472 is 2

2. How to calculate the greatest common divisor of 504, 726, 30, 472?

We can find the highest common divisor of 504, 726, 30, 472 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 504, 726, 30, 472 i.e 2.

3. How can I use the GCD of 504, 726, 30, 472Calculator?

Out the numbers 504, 726, 30, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.