GCD of 814, 208, 826, 789 Calculator

Given Input numbers are 814, 208, 826, 789

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 208 :

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

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (814, 208, 826, 789) = 1.

Given numbers are 814, 208, 826, 789

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 826 are 2 x 7 x 59

Prime factors of 789 are 3 x 263

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

Given numbers are 814, 208, 826, 789

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

Apply this formula for all numbers.

Step1:

LCM(814, 208) = 84656

GCD(814, 208) = ( 814 x 208 ) / 84656

= 814 / 208

= 814

Step2:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

Step3:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2

So, Greatest Common Divisor of 814, 208, 826, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 449, 384, 151
• GCD of 365, 565, 498, 546
• GCD of 825, 441, 323, 623
• GCD of 861, 850, 773, 158
• GCD of 410, 477, 389, 218

Given numbers are 814, 208, 826, 789
The greatest common divisor of numbers 814, 208, 826, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 208, 826, 789 is 1.

1. What is the GCD of 814, 208, 826, 789?

GCD of given numbers 814, 208, 826, 789 is 1

2. How to calculate the greatest common divisor of 814, 208, 826, 789?

We can find the highest common divisor of 814, 208, 826, 789 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, 208, 826, 789 i.e 1.

3. How can I use the GCD of 814, 208, 826, 789Calculator?

Out the numbers 814, 208, 826, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.