GCD of 234, 198, 228, 618 Calculator

Given Input numbers are 234, 198, 228, 618

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (234, 198, 228, 618) = 6.

Given numbers are 234, 198, 228, 618

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 234, 198, 228, 618 is 6.

Given numbers are 234, 198, 228, 618

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

Apply this formula for all numbers.

Step1:

LCM(234, 198) = 2574

GCD(234, 198) = ( 234 x 198 ) / 2574

= 234 / 198

= 234

Step2:

LCM(18, 228) = 684

GCD(18, 228) = ( 18 x 228 ) / 684

= 18 / 228

= 18

Step3:

LCM(6, 618) = 618

GCD(6, 618) = ( 6 x 618 ) / 618

= 6 / 618

= 6

So, Greatest Common Divisor of 234, 198, 228, 618 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 371, 965, 830
• GCD of 175, 894, 281, 432
• GCD of 471, 511, 859, 116
• GCD of 831, 791, 485, 414
• GCD of 462, 957, 292, 399

Given numbers are 234, 198, 228, 618
The greatest common divisor of numbers 234, 198, 228, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 198, 228, 618 is 6.

1. What is the GCD of 234, 198, 228, 618?

GCD of given numbers 234, 198, 228, 618 is 6

2. How to calculate the greatest common divisor of 234, 198, 228, 618?

We can find the highest common divisor of 234, 198, 228, 618 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 234, 198, 228, 618 i.e 6.

3. How can I use the GCD of 234, 198, 228, 618Calculator?

Out the numbers 234, 198, 228, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.