GCD of 214, 642, 864, 397 Calculator

Given Input numbers are 214, 642, 864, 397

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 397 :

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

1, 397

GCD of numbers is the greatest common divisor

So, the GCD (214, 642, 864, 397) = 1.

Given numbers are 214, 642, 864, 397

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 642 are 2 x 3 x 107

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 397 are 397

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

Given numbers are 214, 642, 864, 397

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

Apply this formula for all numbers.

Step1:

LCM(214, 642) = 642

GCD(214, 642) = ( 214 x 642 ) / 642

= 214 / 642

= 214

Step2:

LCM(214, 864) = 92448

GCD(214, 864) = ( 214 x 864 ) / 92448

= 214 / 864

= 214

Step3:

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

= 2 / 397

= 2

So, Greatest Common Divisor of 214, 642, 864, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 760, 986, 835
• GCD of 627, 516, 184, 546
• GCD of 135, 616, 588, 650
• GCD of 138, 791, 787, 628
• GCD of 921, 749, 121, 614

Given numbers are 214, 642, 864, 397
The greatest common divisor of numbers 214, 642, 864, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 642, 864, 397 is 1.

1. What is the GCD of 214, 642, 864, 397?

GCD of given numbers 214, 642, 864, 397 is 1

2. How to calculate the greatest common divisor of 214, 642, 864, 397?

We can find the highest common divisor of 214, 642, 864, 397 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 214, 642, 864, 397 i.e 1.

3. How can I use the GCD of 214, 642, 864, 397Calculator?

Out the numbers 214, 642, 864, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.