GCD of 816, 814, 726, 686 Calculator

Given Input numbers are 816, 814, 726, 686

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 814 :

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

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (816, 814, 726, 686) = 2.

Given numbers are 816, 814, 726, 686

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 814 are 2 x 11 x 37

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 816, 814, 726, 686 is 2.

Given numbers are 816, 814, 726, 686

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

Apply this formula for all numbers.

Step1:

LCM(816, 814) = 332112

GCD(816, 814) = ( 816 x 814 ) / 332112

= 816 / 814

= 816

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 816, 814, 726, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 337, 445, 765
• GCD of 762, 100, 158, 939
• GCD of 638, 483, 131, 902
• GCD of 692, 450, 525, 679
• GCD of 344, 149, 609, 953

Given numbers are 816, 814, 726, 686
The greatest common divisor of numbers 816, 814, 726, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 814, 726, 686 is 2.

1. What is the GCD of 816, 814, 726, 686?

GCD of given numbers 816, 814, 726, 686 is 2

2. How to calculate the greatest common divisor of 816, 814, 726, 686?

We can find the highest common divisor of 816, 814, 726, 686 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 816, 814, 726, 686 i.e 2.

3. How can I use the GCD of 816, 814, 726, 686Calculator?

Out the numbers 816, 814, 726, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.