GCD of 814, 198, 720, 818 Calculator

Given Input numbers are 814, 198, 720, 818

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

GCD of numbers is the greatest common divisor

So, the GCD (814, 198, 720, 818) = 2.

Given numbers are 814, 198, 720, 818

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 818 are 2 x 409

The highest common occurrence is 2¹

Therefore, GCD of 814, 198, 720, 818 is 2.

Given numbers are 814, 198, 720, 818

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

Apply this formula for all numbers.

Step1:

LCM(814, 198) = 7326

GCD(814, 198) = ( 814 x 198 ) / 7326

= 814 / 198

= 814

Step2:

LCM(22, 720) = 7920

GCD(22, 720) = ( 22 x 720 ) / 7920

= 22 / 720

= 22

Step3:

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

= 2 / 818

= 2

So, Greatest Common Divisor of 814, 198, 720, 818 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 623, 415, 530
• GCD of 799, 603, 108, 432
• GCD of 389, 768, 719, 458
• GCD of 161, 190, 714, 569
• GCD of 731, 758, 696, 652

Given numbers are 814, 198, 720, 818
The greatest common divisor of numbers 814, 198, 720, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 198, 720, 818 is 2.

1. What is the GCD of 814, 198, 720, 818?

GCD of given numbers 814, 198, 720, 818 is 2

2. How to calculate the greatest common divisor of 814, 198, 720, 818?

We can find the highest common divisor of 814, 198, 720, 818 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, 198, 720, 818 i.e 2.

3. How can I use the GCD of 814, 198, 720, 818Calculator?

Out the numbers 814, 198, 720, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.