GCD of 216, 345, 352, 686 Calculator

Given Input numbers are 216, 345, 352, 686

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (216, 345, 352, 686) = 1.

Given numbers are 216, 345, 352, 686

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 345 are 3 x 5 x 23

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 216, 345, 352, 686

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

Apply this formula for all numbers.

Step1:

LCM(216, 345) = 24840

GCD(216, 345) = ( 216 x 345 ) / 24840

= 216 / 345

= 216

Step2:

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

= 3 / 352

= 3

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 216, 345, 352, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 326, 721, 779
• GCD of 499, 511, 925, 338
• GCD of 440, 333, 103, 908
• GCD of 355, 393, 305, 509
• GCD of 777, 374, 486, 376

Given numbers are 216, 345, 352, 686
The greatest common divisor of numbers 216, 345, 352, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 345, 352, 686 is 1.

1. What is the GCD of 216, 345, 352, 686?

GCD of given numbers 216, 345, 352, 686 is 1

2. How to calculate the greatest common divisor of 216, 345, 352, 686?

We can find the highest common divisor of 216, 345, 352, 686 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, 345, 352, 686 i.e 1.

3. How can I use the GCD of 216, 345, 352, 686Calculator?

Out the numbers 216, 345, 352, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.