GCD of 289, 294, 272, 576 Calculator

Given Input numbers are 289, 294, 272, 576

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (289, 294, 272, 576) = 1.

Given numbers are 289, 294, 272, 576

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 289, 294, 272, 576

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

Apply this formula for all numbers.

Step1:

LCM(289, 294) = 84966

GCD(289, 294) = ( 289 x 294 ) / 84966

= 289 / 294

= 289

Step2:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 289, 294, 272, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 846, 414, 166
• GCD of 148, 776, 827, 421
• GCD of 701, 821, 856, 978
• GCD of 722, 985, 284, 253
• GCD of 302, 838, 218, 164

Given numbers are 289, 294, 272, 576
The greatest common divisor of numbers 289, 294, 272, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 294, 272, 576 is 1.

1. What is the GCD of 289, 294, 272, 576?

GCD of given numbers 289, 294, 272, 576 is 1

2. How to calculate the greatest common divisor of 289, 294, 272, 576?

We can find the highest common divisor of 289, 294, 272, 576 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, 294, 272, 576 i.e 1.

3. How can I use the GCD of 289, 294, 272, 576Calculator?

Out the numbers 289, 294, 272, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.