GCD of 318, 189, 223, 687 Calculator

Given Input numbers are 318, 189, 223, 687

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (318, 189, 223, 687) = 1.

Given numbers are 318, 189, 223, 687

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 223 are 223

Prime factors of 687 are 3 x 229

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

Given numbers are 318, 189, 223, 687

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

Apply this formula for all numbers.

Step1:

LCM(318, 189) = 20034

GCD(318, 189) = ( 318 x 189 ) / 20034

= 318 / 189

= 318

Step2:

LCM(3, 223) = 669

GCD(3, 223) = ( 3 x 223 ) / 669

= 3 / 223

= 3

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 318, 189, 223, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 314, 876, 782
• GCD of 394, 200, 213, 408
• GCD of 422, 139, 255, 938
• GCD of 167, 429, 460, 373
• GCD of 328, 881, 860, 186

Given numbers are 318, 189, 223, 687
The greatest common divisor of numbers 318, 189, 223, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 189, 223, 687 is 1.

1. What is the GCD of 318, 189, 223, 687?

GCD of given numbers 318, 189, 223, 687 is 1

2. How to calculate the greatest common divisor of 318, 189, 223, 687?

We can find the highest common divisor of 318, 189, 223, 687 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 318, 189, 223, 687 i.e 1.

3. How can I use the GCD of 318, 189, 223, 687Calculator?

Out the numbers 318, 189, 223, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.