GCD of 120, 390, 322, 506 Calculator

Given Input numbers are 120, 390, 322, 506

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

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

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (120, 390, 322, 506) = 2.

Given numbers are 120, 390, 322, 506

The list of prime factors of all numbers are

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

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

Prime factors of 322 are 2 x 7 x 23

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 120, 390, 322, 506 is 2.

Given numbers are 120, 390, 322, 506

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

Apply this formula for all numbers.

Step1:

LCM(120, 390) = 1560

GCD(120, 390) = ( 120 x 390 ) / 1560

= 120 / 390

= 120

Step2:

LCM(30, 322) = 4830

GCD(30, 322) = ( 30 x 322 ) / 4830

= 30 / 322

= 30

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 120, 390, 322, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 478, 442, 873
• GCD of 595, 856, 756, 411
• GCD of 237, 666, 487, 147
• GCD of 108, 989, 565, 533
• GCD of 935, 645, 304, 128

Given numbers are 120, 390, 322, 506
The greatest common divisor of numbers 120, 390, 322, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 390, 322, 506 is 2.

1. What is the GCD of 120, 390, 322, 506?

GCD of given numbers 120, 390, 322, 506 is 2

2. How to calculate the greatest common divisor of 120, 390, 322, 506?

We can find the highest common divisor of 120, 390, 322, 506 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 120, 390, 322, 506 i.e 2.

3. How can I use the GCD of 120, 390, 322, 506Calculator?

Out the numbers 120, 390, 322, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.