GCD of 856, 676, 814, 808 Calculator

Given Input numbers are 856, 676, 814, 808

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 814 :

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

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

GCD of numbers is the greatest common divisor

So, the GCD (856, 676, 814, 808) = 2.

Given numbers are 856, 676, 814, 808

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 814 are 2 x 11 x 37

Prime factors of 808 are 2 x 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 856, 676, 814, 808 is 2.

Given numbers are 856, 676, 814, 808

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

Apply this formula for all numbers.

Step1:

LCM(856, 676) = 144664

GCD(856, 676) = ( 856 x 676 ) / 144664

= 856 / 676

= 856

Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

Step3:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

So, Greatest Common Divisor of 856, 676, 814, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 413, 664, 173
• GCD of 296, 394, 598, 404
• GCD of 542, 847, 322, 500
• GCD of 700, 585, 177, 390
• GCD of 780, 174, 973, 177

Given numbers are 856, 676, 814, 808
The greatest common divisor of numbers 856, 676, 814, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 676, 814, 808 is 2.

1. What is the GCD of 856, 676, 814, 808?

GCD of given numbers 856, 676, 814, 808 is 2

2. How to calculate the greatest common divisor of 856, 676, 814, 808?

We can find the highest common divisor of 856, 676, 814, 808 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 856, 676, 814, 808 i.e 2.

3. How can I use the GCD of 856, 676, 814, 808Calculator?

Out the numbers 856, 676, 814, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.