GCD of 289, 452, 216, 480 Calculator

Given Input numbers are 289, 452, 216, 480

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 452 :

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

1, 2, 4, 113, 226, 452

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (289, 452, 216, 480) = 1.

Given numbers are 289, 452, 216, 480

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 452 are 2 x 2 x 113

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 289, 452, 216, 480

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

Apply this formula for all numbers.

Step1:

LCM(289, 452) = 130628

GCD(289, 452) = ( 289 x 452 ) / 130628

= 289 / 452

= 289

Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 289, 452, 216, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 382, 971, 349
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• GCD of 722, 276, 799, 868
• GCD of 179, 711, 529, 442
• GCD of 114, 507, 397, 831

Given numbers are 289, 452, 216, 480
The greatest common divisor of numbers 289, 452, 216, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 452, 216, 480 is 1.

1. What is the GCD of 289, 452, 216, 480?

GCD of given numbers 289, 452, 216, 480 is 1

2. How to calculate the greatest common divisor of 289, 452, 216, 480?

We can find the highest common divisor of 289, 452, 216, 480 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 289, 452, 216, 480 i.e 1.

3. How can I use the GCD of 289, 452, 216, 480Calculator?

Out the numbers 289, 452, 216, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.