GCD of 720, 238, 859, 216 Calculator

Given Input numbers are 720, 238, 859, 216

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 859 :

The positive integer divisors of 859 that completely divides 859 are.

1, 859

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 (720, 238, 859, 216) = 1.

Given numbers are 720, 238, 859, 216

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 238 are 2 x 7 x 17

Prime factors of 859 are 859

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 720, 238, 859, 216

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

Apply this formula for all numbers.

Step1:

LCM(720, 238) = 85680

GCD(720, 238) = ( 720 x 238 ) / 85680

= 720 / 238

= 720

Step2:

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

= 2 / 859

= 2

Step3:

LCM(1, 216) = 216

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

= 1 / 216

= 1

So, Greatest Common Divisor of 720, 238, 859, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 300, 608, 997
• GCD of 653, 251, 402, 232
• GCD of 592, 681, 289, 810
• GCD of 912, 149, 192, 330
• GCD of 361, 121, 576, 744

Given numbers are 720, 238, 859, 216
The greatest common divisor of numbers 720, 238, 859, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 238, 859, 216 is 1.

1. What is the GCD of 720, 238, 859, 216?

GCD of given numbers 720, 238, 859, 216 is 1

2. How to calculate the greatest common divisor of 720, 238, 859, 216?

We can find the highest common divisor of 720, 238, 859, 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 720, 238, 859, 216 i.e 1.

3. How can I use the GCD of 720, 238, 859, 216Calculator?

Out the numbers 720, 238, 859, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.