GCD of 396, 208, 784, 135 Calculator

Given Input numbers are 396, 208, 784, 135

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 135 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (396, 208, 784, 135) = 1.

Given numbers are 396, 208, 784, 135

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 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 396, 208, 784, 135

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

Apply this formula for all numbers.

Step1:

LCM(396, 208) = 20592

GCD(396, 208) = ( 396 x 208 ) / 20592

= 396 / 208

= 396

Step2:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

Step3:

LCM(4, 135) = 540

GCD(4, 135) = ( 4 x 135 ) / 540

= 4 / 135

= 4

So, Greatest Common Divisor of 396, 208, 784, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 895, 604, 392
• GCD of 709, 630, 169, 865
• GCD of 800, 631, 143, 856
• GCD of 319, 266, 594, 576
• GCD of 702, 188, 105, 183

Given numbers are 396, 208, 784, 135
The greatest common divisor of numbers 396, 208, 784, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 208, 784, 135 is 1.

1. What is the GCD of 396, 208, 784, 135?

GCD of given numbers 396, 208, 784, 135 is 1

2. How to calculate the greatest common divisor of 396, 208, 784, 135?

We can find the highest common divisor of 396, 208, 784, 135 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, 208, 784, 135 i.e 1.

3. How can I use the GCD of 396, 208, 784, 135Calculator?

Out the numbers 396, 208, 784, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.