GCD of 135, 464, 814, 234 Calculator

Given Input numbers are 135, 464, 814, 234

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (135, 464, 814, 234) = 1.

Given numbers are 135, 464, 814, 234

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 814 are 2 x 11 x 37

Prime factors of 234 are 2 x 3 x 3 x 13

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

Given numbers are 135, 464, 814, 234

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

Apply this formula for all numbers.

Step1:

LCM(135, 464) = 62640

GCD(135, 464) = ( 135 x 464 ) / 62640

= 135 / 464

= 135

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

= 1 / 234

= 1

So, Greatest Common Divisor of 135, 464, 814, 234 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 417, 731, 928
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Given numbers are 135, 464, 814, 234
The greatest common divisor of numbers 135, 464, 814, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 464, 814, 234 is 1.

1. What is the GCD of 135, 464, 814, 234?

GCD of given numbers 135, 464, 814, 234 is 1

2. How to calculate the greatest common divisor of 135, 464, 814, 234?

We can find the highest common divisor of 135, 464, 814, 234 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, 464, 814, 234 i.e 1.

3. How can I use the GCD of 135, 464, 814, 234Calculator?

Out the numbers 135, 464, 814, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.