GCD of 814, 726, 812, 300 Calculator

Given Input numbers are 814, 726, 812, 300

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 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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (814, 726, 812, 300) = 2.

Given numbers are 814, 726, 812, 300

The list of prime factors of all numbers are

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 812 are 2 x 2 x 7 x 29

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 814, 726, 812, 300 is 2.

Given numbers are 814, 726, 812, 300

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

Apply this formula for all numbers.

Step1:

LCM(814, 726) = 26862

GCD(814, 726) = ( 814 x 726 ) / 26862

= 814 / 726

= 814

Step2:

LCM(22, 812) = 8932

GCD(22, 812) = ( 22 x 812 ) / 8932

= 22 / 812

= 22

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 814, 726, 812, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 580, 614, 263
• GCD of 248, 877, 725, 417
• GCD of 376, 597, 615, 493
• GCD of 774, 732, 508, 486
• GCD of 481, 391, 119, 361

Given numbers are 814, 726, 812, 300
The greatest common divisor of numbers 814, 726, 812, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 726, 812, 300 is 2.

1. What is the GCD of 814, 726, 812, 300?

GCD of given numbers 814, 726, 812, 300 is 2

2. How to calculate the greatest common divisor of 814, 726, 812, 300?

We can find the highest common divisor of 814, 726, 812, 300 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, 726, 812, 300 i.e 2.

3. How can I use the GCD of 814, 726, 812, 300Calculator?

Out the numbers 814, 726, 812, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.