GCD of 318, 135, 357, 198 Calculator

Given Input numbers are 318, 135, 357, 198

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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

GCD of numbers is the greatest common divisor

So, the GCD (318, 135, 357, 198) = 3.

Given numbers are 318, 135, 357, 198

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 357 are 3 x 7 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 318, 135, 357, 198 is 3.

Given numbers are 318, 135, 357, 198

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

Apply this formula for all numbers.

Step1:

LCM(318, 135) = 14310

GCD(318, 135) = ( 318 x 135 ) / 14310

= 318 / 135

= 318

Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 318, 135, 357, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 693, 506, 379
• GCD of 540, 727, 686, 674
• GCD of 564, 763, 596, 861
• GCD of 199, 698, 739, 155
• GCD of 729, 858, 214, 280

Given numbers are 318, 135, 357, 198
The greatest common divisor of numbers 318, 135, 357, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 135, 357, 198 is 3.

1. What is the GCD of 318, 135, 357, 198?

GCD of given numbers 318, 135, 357, 198 is 3

2. How to calculate the greatest common divisor of 318, 135, 357, 198?

We can find the highest common divisor of 318, 135, 357, 198 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 318, 135, 357, 198 i.e 3.

3. How can I use the GCD of 318, 135, 357, 198Calculator?

Out the numbers 318, 135, 357, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.