GCD of 999, 428, 398, 714 Calculator

Given Input numbers are 999, 428, 398, 714

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (999, 428, 398, 714) = 1.

Given numbers are 999, 428, 398, 714

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 428 are 2 x 2 x 107

Prime factors of 398 are 2 x 199

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 999, 428, 398, 714

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

Apply this formula for all numbers.

Step1:

LCM(999, 428) = 427572

GCD(999, 428) = ( 999 x 428 ) / 427572

= 999 / 428

= 999

Step2:

LCM(1, 398) = 398

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

= 1 / 398

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 999, 428, 398, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 244, 276, 477
• GCD of 300, 206, 826, 612
• GCD of 726, 252, 844, 608
• GCD of 611, 587, 754, 247
• GCD of 375, 741, 152, 349

Given numbers are 999, 428, 398, 714
The greatest common divisor of numbers 999, 428, 398, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 428, 398, 714 is 1.

1. What is the GCD of 999, 428, 398, 714?

GCD of given numbers 999, 428, 398, 714 is 1

2. How to calculate the greatest common divisor of 999, 428, 398, 714?

We can find the highest common divisor of 999, 428, 398, 714 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 999, 428, 398, 714 i.e 1.

3. How can I use the GCD of 999, 428, 398, 714Calculator?

Out the numbers 999, 428, 398, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.