GCD of 135, 408, 442, 797 Calculator

Given Input numbers are 135, 408, 442, 797

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

Divisors of 135 :

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

GCD of numbers is the greatest common divisor

So, the GCD (135, 408, 442, 797) = 1.

Given numbers are 135, 408, 442, 797

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 442 are 2 x 13 x 17

Prime factors of 797 are 797

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

Given numbers are 135, 408, 442, 797

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

Apply this formula for all numbers.

Step1:

LCM(135, 408) = 18360

GCD(135, 408) = ( 135 x 408 ) / 18360

= 135 / 408

= 135

Step2:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

Step3:

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

= 1 / 797

= 1

So, Greatest Common Divisor of 135, 408, 442, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 928, 948, 495
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Given numbers are 135, 408, 442, 797
The greatest common divisor of numbers 135, 408, 442, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 408, 442, 797 is 1.

1. What is the GCD of 135, 408, 442, 797?

GCD of given numbers 135, 408, 442, 797 is 1

2. How to calculate the greatest common divisor of 135, 408, 442, 797?

We can find the highest common divisor of 135, 408, 442, 797 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 135, 408, 442, 797 i.e 1.

3. How can I use the GCD of 135, 408, 442, 797Calculator?

Out the numbers 135, 408, 442, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.