GCD of 135, 522, 273, 408 Calculator

Given Input numbers are 135, 522, 273, 408

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 273 :

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (135, 522, 273, 408) = 3.

Given numbers are 135, 522, 273, 408

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 273 are 3 x 7 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 135, 522, 273, 408 is 3.

Given numbers are 135, 522, 273, 408

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

Apply this formula for all numbers.

Step1:

LCM(135, 522) = 7830

GCD(135, 522) = ( 135 x 522 ) / 7830

= 135 / 522

= 135

Step2:

LCM(9, 273) = 819

GCD(9, 273) = ( 9 x 273 ) / 819

= 9 / 273

= 9

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 135, 522, 273, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 799, 297, 797
• GCD of 134, 774, 498, 677
• GCD of 458, 727, 456, 420
• GCD of 420, 505, 552, 358
• GCD of 312, 217, 755, 499

Given numbers are 135, 522, 273, 408
The greatest common divisor of numbers 135, 522, 273, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 522, 273, 408 is 3.

1. What is the GCD of 135, 522, 273, 408?

GCD of given numbers 135, 522, 273, 408 is 3

2. How to calculate the greatest common divisor of 135, 522, 273, 408?

We can find the highest common divisor of 135, 522, 273, 408 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, 522, 273, 408 i.e 3.

3. How can I use the GCD of 135, 522, 273, 408Calculator?

Out the numbers 135, 522, 273, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.