GCD of 249, 510, 564, 537 Calculator

Given Input numbers are 249, 510, 564, 537

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (249, 510, 564, 537) = 3.

Given numbers are 249, 510, 564, 537

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 537 are 3 x 179

The highest common occurrence is 3¹

Therefore, GCD of 249, 510, 564, 537 is 3.

Given numbers are 249, 510, 564, 537

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

Apply this formula for all numbers.

Step1:

LCM(249, 510) = 42330

GCD(249, 510) = ( 249 x 510 ) / 42330

= 249 / 510

= 249

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

So, Greatest Common Divisor of 249, 510, 564, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 644, 762, 918
• GCD of 931, 258, 592, 915
• GCD of 343, 572, 201, 948
• GCD of 496, 780, 894, 783
• GCD of 327, 986, 475, 295

Given numbers are 249, 510, 564, 537
The greatest common divisor of numbers 249, 510, 564, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 510, 564, 537 is 3.

1. What is the GCD of 249, 510, 564, 537?

GCD of given numbers 249, 510, 564, 537 is 3

2. How to calculate the greatest common divisor of 249, 510, 564, 537?

We can find the highest common divisor of 249, 510, 564, 537 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 249, 510, 564, 537 i.e 3.

3. How can I use the GCD of 249, 510, 564, 537Calculator?

Out the numbers 249, 510, 564, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.