GCD of 216, 725, 798, 208 Calculator

Given Input numbers are 216, 725, 798, 208

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

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (216, 725, 798, 208) = 1.

Given numbers are 216, 725, 798, 208

The list of prime factors of all numbers are

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

Prime factors of 725 are 5 x 5 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Given numbers are 216, 725, 798, 208

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

Apply this formula for all numbers.

Step1:

LCM(216, 725) = 156600

GCD(216, 725) = ( 216 x 725 ) / 156600

= 216 / 725

= 216

Step2:

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

= 1 / 798

= 1

Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

So, Greatest Common Divisor of 216, 725, 798, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 538, 769, 268
• GCD of 462, 918, 592, 198
• GCD of 611, 404, 548, 650
• GCD of 840, 441, 922, 978
• GCD of 689, 672, 445, 666

Given numbers are 216, 725, 798, 208
The greatest common divisor of numbers 216, 725, 798, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 725, 798, 208 is 1.

1. What is the GCD of 216, 725, 798, 208?

GCD of given numbers 216, 725, 798, 208 is 1

2. How to calculate the greatest common divisor of 216, 725, 798, 208?

We can find the highest common divisor of 216, 725, 798, 208 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 216, 725, 798, 208 i.e 1.

3. How can I use the GCD of 216, 725, 798, 208Calculator?

Out the numbers 216, 725, 798, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.