GCD of 309, 135, 789, 270 Calculator

Given Input numbers are 309, 135, 789, 270

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 135 :

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

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (309, 135, 789, 270) = 3.

Given numbers are 309, 135, 789, 270

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

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

Prime factors of 789 are 3 x 263

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 309, 135, 789, 270 is 3.

Given numbers are 309, 135, 789, 270

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

Apply this formula for all numbers.

Step1:

LCM(309, 135) = 13905

GCD(309, 135) = ( 309 x 135 ) / 13905

= 309 / 135

= 309

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 309, 135, 789, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 952, 762, 931
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• GCD of 180, 625, 451, 163

Given numbers are 309, 135, 789, 270
The greatest common divisor of numbers 309, 135, 789, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 135, 789, 270 is 3.

1. What is the GCD of 309, 135, 789, 270?

GCD of given numbers 309, 135, 789, 270 is 3

2. How to calculate the greatest common divisor of 309, 135, 789, 270?

We can find the highest common divisor of 309, 135, 789, 270 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 309, 135, 789, 270 i.e 3.

3. How can I use the GCD of 309, 135, 789, 270Calculator?

Out the numbers 309, 135, 789, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.