GCD of 221, 729, 480, 349 Calculator

Given Input numbers are 221, 729, 480, 349

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (221, 729, 480, 349) = 1.

Given numbers are 221, 729, 480, 349

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 349 are 349

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

Given numbers are 221, 729, 480, 349

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

Apply this formula for all numbers.

Step1:

LCM(221, 729) = 161109

GCD(221, 729) = ( 221 x 729 ) / 161109

= 221 / 729

= 221

Step2:

LCM(1, 480) = 480

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

= 1 / 480

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 221, 729, 480, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 183, 169, 452
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Given numbers are 221, 729, 480, 349
The greatest common divisor of numbers 221, 729, 480, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 729, 480, 349 is 1.

1. What is the GCD of 221, 729, 480, 349?

GCD of given numbers 221, 729, 480, 349 is 1

2. How to calculate the greatest common divisor of 221, 729, 480, 349?

We can find the highest common divisor of 221, 729, 480, 349 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 221, 729, 480, 349 i.e 1.

3. How can I use the GCD of 221, 729, 480, 349Calculator?

Out the numbers 221, 729, 480, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.