GCD of 345, 165, 300, 645 Calculator

Given Input numbers are 345, 165, 300, 645

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

Divisors of 345 :

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

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (345, 165, 300, 645) = 15.

Given numbers are 345, 165, 300, 645

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 165 are 3 x 5 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 645 are 3 x 5 x 43

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 345, 165, 300, 645 is 15.

Given numbers are 345, 165, 300, 645

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

Apply this formula for all numbers.

Step1:

LCM(345, 165) = 3795

GCD(345, 165) = ( 345 x 165 ) / 3795

= 345 / 165

= 345

Step2:

LCM(15, 300) = 300

GCD(15, 300) = ( 15 x 300 ) / 300

= 15 / 300

= 15

Step3:

LCM(15, 645) = 645

GCD(15, 645) = ( 15 x 645 ) / 645

= 15 / 645

= 15

So, Greatest Common Divisor of 345, 165, 300, 645 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 288, 708, 665
• GCD of 610, 161, 234, 741
• GCD of 535, 470, 635, 262
• GCD of 415, 718, 443, 965
• GCD of 311, 208, 144, 278

Given numbers are 345, 165, 300, 645
The greatest common divisor of numbers 345, 165, 300, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 165, 300, 645 is 15.

1. What is the GCD of 345, 165, 300, 645?

GCD of given numbers 345, 165, 300, 645 is 15

2. How to calculate the greatest common divisor of 345, 165, 300, 645?

We can find the highest common divisor of 345, 165, 300, 645 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 345, 165, 300, 645 i.e 15.

3. How can I use the GCD of 345, 165, 300, 645Calculator?

Out the numbers 345, 165, 300, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.