GCD of 105, 255, 27, 567 Calculator

Given Input numbers are 105, 255, 27, 567

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (105, 255, 27, 567) = 3.

Given numbers are 105, 255, 27, 567

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 255 are 3 x 5 x 17

Prime factors of 27 are 3 x 3 x 3

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 105, 255, 27, 567 is 3.

Given numbers are 105, 255, 27, 567

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

Apply this formula for all numbers.

Step1:

LCM(105, 255) = 1785

GCD(105, 255) = ( 105 x 255 ) / 1785

= 105 / 255

= 105

Step2:

LCM(15, 27) = 135

GCD(15, 27) = ( 15 x 27 ) / 135

= 15 / 27

= 15

Step3:

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

= 3 / 567

= 3

So, Greatest Common Divisor of 105, 255, 27, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 317, 56, 358
• GCD of 687, 391, 30, 740
• GCD of 286, 235, 63, 476
• GCD of 769, 841, 63, 575
• GCD of 176, 504, 88, 698

Given numbers are 105, 255, 27, 567
The greatest common divisor of numbers 105, 255, 27, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 255, 27, 567 is 3.

1. What is the GCD of 105, 255, 27, 567?

GCD of given numbers 105, 255, 27, 567 is 3

2. How to calculate the greatest common divisor of 105, 255, 27, 567?

We can find the highest common divisor of 105, 255, 27, 567 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 105, 255, 27, 567 i.e 3.

3. How can I use the GCD of 105, 255, 27, 567Calculator?

Out the numbers 105, 255, 27, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.