GCD of 558, 864, 249, 690 Calculator

Given Input numbers are 558, 864, 249, 690

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 249 :

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

1, 3, 83, 249

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (558, 864, 249, 690) = 3.

Given numbers are 558, 864, 249, 690

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 249 are 3 x 83

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 558, 864, 249, 690 is 3.

Given numbers are 558, 864, 249, 690

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

Apply this formula for all numbers.

Step1:

LCM(558, 864) = 26784

GCD(558, 864) = ( 558 x 864 ) / 26784

= 558 / 864

= 558

Step2:

LCM(18, 249) = 1494

GCD(18, 249) = ( 18 x 249 ) / 1494

= 18 / 249

= 18

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 558, 864, 249, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 988, 228, 366
• GCD of 569, 867, 466, 208
• GCD of 935, 639, 705, 246
• GCD of 866, 974, 374, 396
• GCD of 189, 117, 624, 554

Given numbers are 558, 864, 249, 690
The greatest common divisor of numbers 558, 864, 249, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 864, 249, 690 is 3.

1. What is the GCD of 558, 864, 249, 690?

GCD of given numbers 558, 864, 249, 690 is 3

2. How to calculate the greatest common divisor of 558, 864, 249, 690?

We can find the highest common divisor of 558, 864, 249, 690 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 558, 864, 249, 690 i.e 3.

3. How can I use the GCD of 558, 864, 249, 690Calculator?

Out the numbers 558, 864, 249, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.