GCD of 645, 390, 120 Calculator

Given Input numbers are 645, 390, 120

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (645, 390, 120) = 15.

Given numbers are 645, 390, 120

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 645, 390, 120 is 15.

Given numbers are 645, 390, 120

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

Apply this formula for all numbers.

Step1:

LCM(645, 390) = 16770

GCD(645, 390) = ( 645 x 390 ) / 16770

= 645 / 390

= 645

Step2:

LCM(15, 120) = 120

GCD(15, 120) = ( 15 x 120 ) / 120

= 15 / 120

= 15

So, Greatest Common Divisor of 645, 390, 120 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 449, 398
• GCD of 621, 980, 207
• GCD of 505, 992, 231
• GCD of 288, 606, 572
• GCD of 928, 919, 551

Given numbers are 645, 390, 120
The greatest common divisor of numbers 645, 390, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 390, 120 is 15.

1. What is the GCD of 645, 390, 120?

GCD of given numbers 645, 390, 120 is 15

2. How to calculate the greatest common divisor of 645, 390, 120?

We can find the highest common divisor of 645, 390, 120 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, 390, 120 i.e 15.

3. How can I use the GCD of 645, 390, 120Calculator?

Out the numbers 645, 390, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.