GCD of 135, 159, 813 Calculator

Given Input numbers are 135, 159, 813

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (135, 159, 813) = 3.

Given numbers are 135, 159, 813

The list of prime factors of all numbers are

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

Prime factors of 159 are 3 x 53

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 135, 159, 813 is 3.

Given numbers are 135, 159, 813

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

Apply this formula for all numbers.

Step1:

LCM(135, 159) = 7155

GCD(135, 159) = ( 135 x 159 ) / 7155

= 135 / 159

= 135

Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3

So, Greatest Common Divisor of 135, 159, 813 is 3

Here are some samples of GCD of Numbers calculations.

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Given numbers are 135, 159, 813
The greatest common divisor of numbers 135, 159, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 159, 813 is 3.

1. What is the GCD of 135, 159, 813?

GCD of given numbers 135, 159, 813 is 3

2. How to calculate the greatest common divisor of 135, 159, 813?

We can find the highest common divisor of 135, 159, 813 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, 159, 813 i.e 3.

3. How can I use the GCD of 135, 159, 813Calculator?

Out the numbers 135, 159, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.