GCD of 120, 459, 287, 622 Calculator

Given Input numbers are 120, 459, 287, 622

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 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

GCD of numbers is the greatest common divisor

So, the GCD (120, 459, 287, 622) = 1.

Given numbers are 120, 459, 287, 622

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 459 are 3 x 3 x 3 x 17

Prime factors of 287 are 7 x 41

Prime factors of 622 are 2 x 311

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 459, 287, 622

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

Apply this formula for all numbers.

Step1:

LCM(120, 459) = 18360

GCD(120, 459) = ( 120 x 459 ) / 18360

= 120 / 459

= 120

Step2:

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

= 3 / 287

= 3

Step3:

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

= 1 / 622

= 1

So, Greatest Common Divisor of 120, 459, 287, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 269, 783, 794
• GCD of 468, 474, 895, 574
• GCD of 146, 358, 174, 359
• GCD of 536, 170, 421, 827
• GCD of 229, 908, 983, 439

Given numbers are 120, 459, 287, 622
The greatest common divisor of numbers 120, 459, 287, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 459, 287, 622 is 1.

1. What is the GCD of 120, 459, 287, 622?

GCD of given numbers 120, 459, 287, 622 is 1

2. How to calculate the greatest common divisor of 120, 459, 287, 622?

We can find the highest common divisor of 120, 459, 287, 622 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, 459, 287, 622 i.e 1.

3. How can I use the GCD of 120, 459, 287, 622Calculator?

Out the numbers 120, 459, 287, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.