GCD of 213, 390, 398, 898 Calculator

Given Input numbers are 213, 390, 398, 898

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (213, 390, 398, 898) = 1.

Given numbers are 213, 390, 398, 898

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 398 are 2 x 199

Prime factors of 898 are 2 x 449

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

Given numbers are 213, 390, 398, 898

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

Apply this formula for all numbers.

Step1:

LCM(213, 390) = 27690

GCD(213, 390) = ( 213 x 390 ) / 27690

= 213 / 390

= 213

Step2:

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

= 3 / 398

= 3

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 213, 390, 398, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 146, 312, 558
• GCD of 735, 881, 231, 138
• GCD of 104, 486, 160, 625
• GCD of 805, 561, 295, 594
• GCD of 935, 336, 480, 614

Given numbers are 213, 390, 398, 898
The greatest common divisor of numbers 213, 390, 398, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 390, 398, 898 is 1.

1. What is the GCD of 213, 390, 398, 898?

GCD of given numbers 213, 390, 398, 898 is 1

2. How to calculate the greatest common divisor of 213, 390, 398, 898?

We can find the highest common divisor of 213, 390, 398, 898 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 213, 390, 398, 898 i.e 1.

3. How can I use the GCD of 213, 390, 398, 898Calculator?

Out the numbers 213, 390, 398, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.