GCD of 396, 393, 675, 117 Calculator

Given Input numbers are 396, 393, 675, 117

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (396, 393, 675, 117) = 3.

Given numbers are 396, 393, 675, 117

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 393 are 3 x 131

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 396, 393, 675, 117 is 3.

Given numbers are 396, 393, 675, 117

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

Apply this formula for all numbers.

Step1:

LCM(396, 393) = 51876

GCD(396, 393) = ( 396 x 393 ) / 51876

= 396 / 393

= 396

Step2:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 396, 393, 675, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 248, 895, 447
• GCD of 376, 738, 154, 433
• GCD of 865, 462, 199, 603
• GCD of 991, 887, 363, 561
• GCD of 934, 774, 627, 240

Given numbers are 396, 393, 675, 117
The greatest common divisor of numbers 396, 393, 675, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 393, 675, 117 is 3.

1. What is the GCD of 396, 393, 675, 117?

GCD of given numbers 396, 393, 675, 117 is 3

2. How to calculate the greatest common divisor of 396, 393, 675, 117?

We can find the highest common divisor of 396, 393, 675, 117 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 396, 393, 675, 117 i.e 3.

3. How can I use the GCD of 396, 393, 675, 117Calculator?

Out the numbers 396, 393, 675, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.