GCD of 289, 615, 988, 216 Calculator

Given Input numbers are 289, 615, 988, 216

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 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

GCD of numbers is the greatest common divisor

So, the GCD (289, 615, 988, 216) = 1.

Given numbers are 289, 615, 988, 216

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 615 are 3 x 5 x 41

Prime factors of 988 are 2 x 2 x 13 x 19

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

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

Given numbers are 289, 615, 988, 216

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

Apply this formula for all numbers.

Step1:

LCM(289, 615) = 177735

GCD(289, 615) = ( 289 x 615 ) / 177735

= 289 / 615

= 289

Step2:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

Step3:

LCM(1, 216) = 216

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

= 1 / 216

= 1

So, Greatest Common Divisor of 289, 615, 988, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 626, 866, 210
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Given numbers are 289, 615, 988, 216
The greatest common divisor of numbers 289, 615, 988, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 615, 988, 216 is 1.

1. What is the GCD of 289, 615, 988, 216?

GCD of given numbers 289, 615, 988, 216 is 1

2. How to calculate the greatest common divisor of 289, 615, 988, 216?

We can find the highest common divisor of 289, 615, 988, 216 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, 615, 988, 216 i.e 1.

3. How can I use the GCD of 289, 615, 988, 216Calculator?

Out the numbers 289, 615, 988, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.