GCD of 504, 484, 706, 810 Calculator

Given Input numbers are 504, 484, 706, 810

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 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

GCD of numbers is the greatest common divisor

So, the GCD (504, 484, 706, 810) = 2.

Given numbers are 504, 484, 706, 810

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 484 are 2 x 2 x 11 x 11

Prime factors of 706 are 2 x 353

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 504, 484, 706, 810 is 2.

Given numbers are 504, 484, 706, 810

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

Apply this formula for all numbers.

Step1:

LCM(504, 484) = 60984

GCD(504, 484) = ( 504 x 484 ) / 60984

= 504 / 484

= 504

Step2:

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

= 4 / 706

= 4

Step3:

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

= 2 / 810

= 2

So, Greatest Common Divisor of 504, 484, 706, 810 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 366, 841, 813
• GCD of 612, 974, 626, 719
• GCD of 929, 644, 557, 677
• GCD of 373, 849, 893, 546
• GCD of 459, 515, 913, 779

Given numbers are 504, 484, 706, 810
The greatest common divisor of numbers 504, 484, 706, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 484, 706, 810 is 2.

1. What is the GCD of 504, 484, 706, 810?

GCD of given numbers 504, 484, 706, 810 is 2

2. How to calculate the greatest common divisor of 504, 484, 706, 810?

We can find the highest common divisor of 504, 484, 706, 810 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, 484, 706, 810 i.e 2.

3. How can I use the GCD of 504, 484, 706, 810Calculator?

Out the numbers 504, 484, 706, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.