GCD of 512, 221, 349, 489 Calculator

Given Input numbers are 512, 221, 349, 489

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 349 :

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

1, 349

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (512, 221, 349, 489) = 1.

Given numbers are 512, 221, 349, 489

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 221 are 13 x 17

Prime factors of 349 are 349

Prime factors of 489 are 3 x 163

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

Given numbers are 512, 221, 349, 489

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

Apply this formula for all numbers.

Step1:

LCM(512, 221) = 113152

GCD(512, 221) = ( 512 x 221 ) / 113152

= 512 / 221

= 512

Step2:

LCM(1, 349) = 349

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

= 1 / 349

= 1

Step3:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

So, Greatest Common Divisor of 512, 221, 349, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 950, 956, 449
• GCD of 831, 568, 956, 165
• GCD of 708, 361, 416, 784
• GCD of 910, 450, 252, 661
• GCD of 243, 229, 329, 452

Given numbers are 512, 221, 349, 489
The greatest common divisor of numbers 512, 221, 349, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 221, 349, 489 is 1.

1. What is the GCD of 512, 221, 349, 489?

GCD of given numbers 512, 221, 349, 489 is 1

2. How to calculate the greatest common divisor of 512, 221, 349, 489?

We can find the highest common divisor of 512, 221, 349, 489 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 512, 221, 349, 489 i.e 1.

3. How can I use the GCD of 512, 221, 349, 489Calculator?

Out the numbers 512, 221, 349, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.