GCD of 810, 555, 345, 138 Calculator

Given Input numbers are 810, 555, 345, 138

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (810, 555, 345, 138) = 3.

Given numbers are 810, 555, 345, 138

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 555 are 3 x 5 x 37

Prime factors of 345 are 3 x 5 x 23

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 810, 555, 345, 138 is 3.

Given numbers are 810, 555, 345, 138

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

Apply this formula for all numbers.

Step1:

LCM(810, 555) = 29970

GCD(810, 555) = ( 810 x 555 ) / 29970

= 810 / 555

= 810

Step2:

LCM(15, 345) = 345

GCD(15, 345) = ( 15 x 345 ) / 345

= 15 / 345

= 15

Step3:

LCM(15, 138) = 690

GCD(15, 138) = ( 15 x 138 ) / 690

= 15 / 138

= 15

So, Greatest Common Divisor of 810, 555, 345, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 583, 261, 699
• GCD of 168, 841, 450, 479
• GCD of 932, 920, 121, 306
• GCD of 300, 412, 755, 883
• GCD of 880, 797, 361, 707

Given numbers are 810, 555, 345, 138
The greatest common divisor of numbers 810, 555, 345, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 555, 345, 138 is 3.

1. What is the GCD of 810, 555, 345, 138?

GCD of given numbers 810, 555, 345, 138 is 3

2. How to calculate the greatest common divisor of 810, 555, 345, 138?

We can find the highest common divisor of 810, 555, 345, 138 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 810, 555, 345, 138 i.e 3.

3. How can I use the GCD of 810, 555, 345, 138Calculator?

Out the numbers 810, 555, 345, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.