GCD of 217, 489, 350, 289 Calculator

Given Input numbers are 217, 489, 350, 289

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 289 :

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

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (217, 489, 350, 289) = 1.

Given numbers are 217, 489, 350, 289

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 489 are 3 x 163

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 289 are 17 x 17

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

Given numbers are 217, 489, 350, 289

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

Apply this formula for all numbers.

Step1:

LCM(217, 489) = 106113

GCD(217, 489) = ( 217 x 489 ) / 106113

= 217 / 489

= 217

Step2:

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

= 1 / 350

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 217, 489, 350, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 296, 101, 935
• GCD of 501, 600, 181, 267
• GCD of 627, 755, 527, 903
• GCD of 975, 650, 634, 986
• GCD of 108, 689, 649, 640

Given numbers are 217, 489, 350, 289
The greatest common divisor of numbers 217, 489, 350, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 489, 350, 289 is 1.

1. What is the GCD of 217, 489, 350, 289?

GCD of given numbers 217, 489, 350, 289 is 1

2. How to calculate the greatest common divisor of 217, 489, 350, 289?

We can find the highest common divisor of 217, 489, 350, 289 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 217, 489, 350, 289 i.e 1.

3. How can I use the GCD of 217, 489, 350, 289Calculator?

Out the numbers 217, 489, 350, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.