GCD of 814, 214, 809, 196 Calculator

Given Input numbers are 814, 214, 809, 196

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (814, 214, 809, 196) = 1.

Given numbers are 814, 214, 809, 196

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 214 are 2 x 107

Prime factors of 809 are 809

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 814, 214, 809, 196

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

Apply this formula for all numbers.

Step1:

LCM(814, 214) = 87098

GCD(814, 214) = ( 814 x 214 ) / 87098

= 814 / 214

= 814

Step2:

LCM(2, 809) = 1618

GCD(2, 809) = ( 2 x 809 ) / 1618

= 2 / 809

= 2

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 814, 214, 809, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 111, 507, 462
• GCD of 363, 108, 559, 815
• GCD of 955, 638, 499, 472
• GCD of 332, 597, 898, 706
• GCD of 528, 547, 526, 297

Given numbers are 814, 214, 809, 196
The greatest common divisor of numbers 814, 214, 809, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 214, 809, 196 is 1.

1. What is the GCD of 814, 214, 809, 196?

GCD of given numbers 814, 214, 809, 196 is 1

2. How to calculate the greatest common divisor of 814, 214, 809, 196?

We can find the highest common divisor of 814, 214, 809, 196 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 814, 214, 809, 196 i.e 1.

3. How can I use the GCD of 814, 214, 809, 196Calculator?

Out the numbers 814, 214, 809, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.