GCD of 120, 452, 800, 459 Calculator

Given Input numbers are 120, 452, 800, 459

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 459 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 452, 800, 459) = 1.

Given numbers are 120, 452, 800, 459

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 452 are 2 x 2 x 113

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

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

Given numbers are 120, 452, 800, 459

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

Apply this formula for all numbers.

Step1:

LCM(120, 452) = 13560

GCD(120, 452) = ( 120 x 452 ) / 13560

= 120 / 452

= 120

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 459) = 1836

GCD(4, 459) = ( 4 x 459 ) / 1836

= 4 / 459

= 4

So, Greatest Common Divisor of 120, 452, 800, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 526, 851, 906
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Given numbers are 120, 452, 800, 459
The greatest common divisor of numbers 120, 452, 800, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 452, 800, 459 is 1.

1. What is the GCD of 120, 452, 800, 459?

GCD of given numbers 120, 452, 800, 459 is 1

2. How to calculate the greatest common divisor of 120, 452, 800, 459?

We can find the highest common divisor of 120, 452, 800, 459 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, 452, 800, 459 i.e 1.

3. How can I use the GCD of 120, 452, 800, 459Calculator?

Out the numbers 120, 452, 800, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.