GCD of 645, 393, 360, 195 Calculator

Given Input numbers are 645, 393, 360, 195

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

Divisors of 645 :

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

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

GCD of numbers is the greatest common divisor

So, the GCD (645, 393, 360, 195) = 3.

Given numbers are 645, 393, 360, 195

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 393 are 3 x 131

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 645, 393, 360, 195 is 3.

Given numbers are 645, 393, 360, 195

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

Apply this formula for all numbers.

Step1:

LCM(645, 393) = 84495

GCD(645, 393) = ( 645 x 393 ) / 84495

= 645 / 393

= 645

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

= 3 / 195

= 3

So, Greatest Common Divisor of 645, 393, 360, 195 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 577, 929, 833
• GCD of 934, 170, 207, 178
• GCD of 676, 394, 545, 383
• GCD of 473, 574, 696, 876
• GCD of 429, 391, 510, 430

Given numbers are 645, 393, 360, 195
The greatest common divisor of numbers 645, 393, 360, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 393, 360, 195 is 3.

1. What is the GCD of 645, 393, 360, 195?

GCD of given numbers 645, 393, 360, 195 is 3

2. How to calculate the greatest common divisor of 645, 393, 360, 195?

We can find the highest common divisor of 645, 393, 360, 195 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 645, 393, 360, 195 i.e 3.

3. How can I use the GCD of 645, 393, 360, 195Calculator?

Out the numbers 645, 393, 360, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.