GCD of 311, 456, 381, 135 Calculator

Given Input numbers are 311, 456, 381, 135

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

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

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 (311, 456, 381, 135) = 1.

Given numbers are 311, 456, 381, 135

The list of prime factors of all numbers are

Prime factors of 311 are 311

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 381 are 3 x 127

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 311, 456, 381, 135

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

Apply this formula for all numbers.

Step1:

LCM(311, 456) = 141816

GCD(311, 456) = ( 311 x 456 ) / 141816

= 311 / 456

= 311

Step2:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 311, 456, 381, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 574, 355, 272
• GCD of 375, 960, 440, 145
• GCD of 309, 229, 142, 704
• GCD of 278, 891, 834, 226
• GCD of 888, 215, 244, 103

Given numbers are 311, 456, 381, 135
The greatest common divisor of numbers 311, 456, 381, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 456, 381, 135 is 1.

1. What is the GCD of 311, 456, 381, 135?

GCD of given numbers 311, 456, 381, 135 is 1

2. How to calculate the greatest common divisor of 311, 456, 381, 135?

We can find the highest common divisor of 311, 456, 381, 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 311, 456, 381, 135 i.e 1.

3. How can I use the GCD of 311, 456, 381, 135Calculator?

Out the numbers 311, 456, 381, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.