GCD of 135, 228, 319, 727 Calculator

Given Input numbers are 135, 228, 319, 727

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (135, 228, 319, 727) = 1.

Given numbers are 135, 228, 319, 727

The list of prime factors of all numbers are

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 319 are 11 x 29

Prime factors of 727 are 727

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

Given numbers are 135, 228, 319, 727

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

Apply this formula for all numbers.

Step1:

LCM(135, 228) = 10260

GCD(135, 228) = ( 135 x 228 ) / 10260

= 135 / 228

= 135

Step2:

LCM(3, 319) = 957

GCD(3, 319) = ( 3 x 319 ) / 957

= 3 / 319

= 3

Step3:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1

So, Greatest Common Divisor of 135, 228, 319, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 407, 557, 364
• GCD of 295, 741, 181, 967
• GCD of 390, 837, 506, 963
• GCD of 440, 265, 422, 614
• GCD of 750, 546, 480, 247

Given numbers are 135, 228, 319, 727
The greatest common divisor of numbers 135, 228, 319, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 228, 319, 727 is 1.

1. What is the GCD of 135, 228, 319, 727?

GCD of given numbers 135, 228, 319, 727 is 1

2. How to calculate the greatest common divisor of 135, 228, 319, 727?

We can find the highest common divisor of 135, 228, 319, 727 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, 228, 319, 727 i.e 1.

3. How can I use the GCD of 135, 228, 319, 727Calculator?

Out the numbers 135, 228, 319, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.