GCD of 214, 471, 208, 831 Calculator

Given Input numbers are 214, 471, 208, 831

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (214, 471, 208, 831) = 1.

Given numbers are 214, 471, 208, 831

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 471 are 3 x 157

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 831 are 3 x 277

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

Given numbers are 214, 471, 208, 831

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

Apply this formula for all numbers.

Step1:

LCM(214, 471) = 100794

GCD(214, 471) = ( 214 x 471 ) / 100794

= 214 / 471

= 214

Step2:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

Step3:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1

So, Greatest Common Divisor of 214, 471, 208, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 528, 280, 665
• GCD of 734, 954, 239, 655
• GCD of 487, 611, 177, 308
• GCD of 135, 823, 909, 539
• GCD of 852, 945, 180, 840

Given numbers are 214, 471, 208, 831
The greatest common divisor of numbers 214, 471, 208, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 471, 208, 831 is 1.

1. What is the GCD of 214, 471, 208, 831?

GCD of given numbers 214, 471, 208, 831 is 1

2. How to calculate the greatest common divisor of 214, 471, 208, 831?

We can find the highest common divisor of 214, 471, 208, 831 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, 471, 208, 831 i.e 1.

3. How can I use the GCD of 214, 471, 208, 831Calculator?

Out the numbers 214, 471, 208, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.