GCD of 816, 706, 798, 340 Calculator

Given Input numbers are 816, 706, 798, 340

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (816, 706, 798, 340) = 2.

Given numbers are 816, 706, 798, 340

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 706 are 2 x 353

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 816, 706, 798, 340 is 2.

Given numbers are 816, 706, 798, 340

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

Apply this formula for all numbers.

Step1:

LCM(816, 706) = 288048

GCD(816, 706) = ( 816 x 706 ) / 288048

= 816 / 706

= 816

Step2:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 816, 706, 798, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 859, 998, 289
• GCD of 143, 912, 857, 655
• GCD of 405, 929, 508, 891
• GCD of 679, 193, 491, 380
• GCD of 702, 711, 815, 584

Given numbers are 816, 706, 798, 340
The greatest common divisor of numbers 816, 706, 798, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 706, 798, 340 is 2.

1. What is the GCD of 816, 706, 798, 340?

GCD of given numbers 816, 706, 798, 340 is 2

2. How to calculate the greatest common divisor of 816, 706, 798, 340?

We can find the highest common divisor of 816, 706, 798, 340 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, 706, 798, 340 i.e 2.

3. How can I use the GCD of 816, 706, 798, 340Calculator?

Out the numbers 816, 706, 798, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.