GCD of 398, 872, 621, 714 Calculator

Given Input numbers are 398, 872, 621, 714

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

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 (398, 872, 621, 714) = 1.

Given numbers are 398, 872, 621, 714

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 621 are 3 x 3 x 3 x 23

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 398, 872, 621, 714

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

Apply this formula for all numbers.

Step1:

LCM(398, 872) = 173528

GCD(398, 872) = ( 398 x 872 ) / 173528

= 398 / 872

= 398

Step2:

LCM(2, 621) = 1242

GCD(2, 621) = ( 2 x 621 ) / 1242

= 2 / 621

= 2

Step3:

LCM(1, 714) = 714

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

= 1 / 714

= 1

So, Greatest Common Divisor of 398, 872, 621, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 911, 792, 207
• GCD of 504, 424, 848, 998
• GCD of 229, 160, 517, 819
• GCD of 506, 663, 592, 866
• GCD of 176, 657, 315, 955

Given numbers are 398, 872, 621, 714
The greatest common divisor of numbers 398, 872, 621, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 872, 621, 714 is 1.

1. What is the GCD of 398, 872, 621, 714?

GCD of given numbers 398, 872, 621, 714 is 1

2. How to calculate the greatest common divisor of 398, 872, 621, 714?

We can find the highest common divisor of 398, 872, 621, 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 398, 872, 621, 714 i.e 1.

3. How can I use the GCD of 398, 872, 621, 714Calculator?

Out the numbers 398, 872, 621, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.