GCD of 507, 294, 810, 252 Calculator

Given Input numbers are 507, 294, 810, 252

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (507, 294, 810, 252) = 3.

Given numbers are 507, 294, 810, 252

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 294 are 2 x 3 x 7 x 7

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 507, 294, 810, 252 is 3.

Given numbers are 507, 294, 810, 252

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

Apply this formula for all numbers.

Step1:

LCM(507, 294) = 49686

GCD(507, 294) = ( 507 x 294 ) / 49686

= 507 / 294

= 507

Step2:

LCM(3, 810) = 810

GCD(3, 810) = ( 3 x 810 ) / 810

= 3 / 810

= 3

Step3:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 507, 294, 810, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 668, 360, 594
• GCD of 116, 271, 871, 714
• GCD of 431, 885, 820, 986
• GCD of 406, 577, 690, 707
• GCD of 332, 477, 322, 936

Given numbers are 507, 294, 810, 252
The greatest common divisor of numbers 507, 294, 810, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 294, 810, 252 is 3.

1. What is the GCD of 507, 294, 810, 252?

GCD of given numbers 507, 294, 810, 252 is 3

2. How to calculate the greatest common divisor of 507, 294, 810, 252?

We can find the highest common divisor of 507, 294, 810, 252 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 507, 294, 810, 252 i.e 3.

3. How can I use the GCD of 507, 294, 810, 252Calculator?

Out the numbers 507, 294, 810, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.