GCD of 856, 122, 814, 676 Calculator

Given Input numbers are 856, 122, 814, 676

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 814 :

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

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

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (856, 122, 814, 676) = 2.

Given numbers are 856, 122, 814, 676

The list of prime factors of all numbers are

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

Prime factors of 122 are 2 x 61

Prime factors of 814 are 2 x 11 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 856, 122, 814, 676 is 2.

Given numbers are 856, 122, 814, 676

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

Apply this formula for all numbers.

Step1:

LCM(856, 122) = 52216

GCD(856, 122) = ( 856 x 122 ) / 52216

= 856 / 122

= 856

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 856, 122, 814, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 446, 294, 588
• GCD of 233, 178, 413, 746
• GCD of 187, 240, 510, 439
• GCD of 991, 173, 186, 575
• GCD of 103, 802, 393, 976

Given numbers are 856, 122, 814, 676
The greatest common divisor of numbers 856, 122, 814, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 122, 814, 676 is 2.

1. What is the GCD of 856, 122, 814, 676?

GCD of given numbers 856, 122, 814, 676 is 2

2. How to calculate the greatest common divisor of 856, 122, 814, 676?

We can find the highest common divisor of 856, 122, 814, 676 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, 122, 814, 676 i.e 2.

3. How can I use the GCD of 856, 122, 814, 676Calculator?

Out the numbers 856, 122, 814, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.