GCD of 135, 273, 444, 506 Calculator

Given Input numbers are 135, 273, 444, 506

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (135, 273, 444, 506) = 1.

Given numbers are 135, 273, 444, 506

The list of prime factors of all numbers are

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

Prime factors of 273 are 3 x 7 x 13

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 135, 273, 444, 506

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

Apply this formula for all numbers.

Step1:

LCM(135, 273) = 12285

GCD(135, 273) = ( 135 x 273 ) / 12285

= 135 / 273

= 135

Step2:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3

Step3:

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

= 3 / 506

= 3

So, Greatest Common Divisor of 135, 273, 444, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 287, 695, 600
• GCD of 758, 787, 786, 130
• GCD of 842, 823, 487, 379
• GCD of 728, 200, 870, 132
• GCD of 971, 176, 505, 669

Given numbers are 135, 273, 444, 506
The greatest common divisor of numbers 135, 273, 444, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 273, 444, 506 is 1.

1. What is the GCD of 135, 273, 444, 506?

GCD of given numbers 135, 273, 444, 506 is 1

2. How to calculate the greatest common divisor of 135, 273, 444, 506?

We can find the highest common divisor of 135, 273, 444, 506 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, 273, 444, 506 i.e 1.

3. How can I use the GCD of 135, 273, 444, 506Calculator?

Out the numbers 135, 273, 444, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.