GCD of 918, 249, 594, 162 Calculator

Given Input numbers are 918, 249, 594, 162

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 249 :

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

1, 3, 83, 249

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (918, 249, 594, 162) = 3.

Given numbers are 918, 249, 594, 162

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 249 are 3 x 83

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 918, 249, 594, 162 is 3.

Given numbers are 918, 249, 594, 162

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

Apply this formula for all numbers.

Step1:

LCM(918, 249) = 76194

GCD(918, 249) = ( 918 x 249 ) / 76194

= 918 / 249

= 918

Step2:

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

= 3 / 594

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 918, 249, 594, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 345, 620, 366
• GCD of 205, 211, 371, 563
• GCD of 504, 375, 303, 332
• GCD of 877, 800, 561, 439
• GCD of 670, 821, 687, 862

Given numbers are 918, 249, 594, 162
The greatest common divisor of numbers 918, 249, 594, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 249, 594, 162 is 3.

1. What is the GCD of 918, 249, 594, 162?

GCD of given numbers 918, 249, 594, 162 is 3

2. How to calculate the greatest common divisor of 918, 249, 594, 162?

We can find the highest common divisor of 918, 249, 594, 162 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 918, 249, 594, 162 i.e 3.

3. How can I use the GCD of 918, 249, 594, 162Calculator?

Out the numbers 918, 249, 594, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.