GCD of 689, 228, 398 Calculator

Given Input numbers are 689, 228, 398

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (689, 228, 398) = 1.

Given numbers are 689, 228, 398

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 398 are 2 x 199

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

Given numbers are 689, 228, 398

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

Apply this formula for all numbers.

Step1:

LCM(689, 228) = 157092

GCD(689, 228) = ( 689 x 228 ) / 157092

= 689 / 228

= 689

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 689, 228, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 528, 437
• GCD of 383, 123, 682
• GCD of 398, 182, 149
• GCD of 243, 676, 860
• GCD of 772, 214, 131

Given numbers are 689, 228, 398
The greatest common divisor of numbers 689, 228, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 228, 398 is 1.

1. What is the GCD of 689, 228, 398?

GCD of given numbers 689, 228, 398 is 1

2. How to calculate the greatest common divisor of 689, 228, 398?

We can find the highest common divisor of 689, 228, 398 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 689, 228, 398 i.e 1.

3. How can I use the GCD of 689, 228, 398Calculator?

Out the numbers 689, 228, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.