GCD of 397, 214, 123, 984 Calculator

Given Input numbers are 397, 214, 123, 984

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (397, 214, 123, 984) = 1.

Given numbers are 397, 214, 123, 984

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 214 are 2 x 107

Prime factors of 123 are 3 x 41

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 397, 214, 123, 984

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

Apply this formula for all numbers.

Step1:

LCM(397, 214) = 84958

GCD(397, 214) = ( 397 x 214 ) / 84958

= 397 / 214

= 397

Step2:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 397, 214, 123, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 561, 323, 851
• GCD of 335, 333, 250, 217
• GCD of 329, 126, 354, 238
• GCD of 691, 558, 299, 263
• GCD of 468, 145, 286, 476

Given numbers are 397, 214, 123, 984
The greatest common divisor of numbers 397, 214, 123, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 214, 123, 984 is 1.

1. What is the GCD of 397, 214, 123, 984?

GCD of given numbers 397, 214, 123, 984 is 1

2. How to calculate the greatest common divisor of 397, 214, 123, 984?

We can find the highest common divisor of 397, 214, 123, 984 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 397, 214, 123, 984 i.e 1.

3. How can I use the GCD of 397, 214, 123, 984Calculator?

Out the numbers 397, 214, 123, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.