GCD of 814, 780, 600, 872 Calculator

Given Input numbers are 814, 780, 600, 872

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (814, 780, 600, 872) = 2.

Given numbers are 814, 780, 600, 872

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 814, 780, 600, 872 is 2.

Given numbers are 814, 780, 600, 872

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

Apply this formula for all numbers.

Step1:

LCM(814, 780) = 317460

GCD(814, 780) = ( 814 x 780 ) / 317460

= 814 / 780

= 814

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 814, 780, 600, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 518, 134, 555
• GCD of 390, 489, 140, 308
• GCD of 614, 682, 315, 270
• GCD of 875, 873, 729, 736
• GCD of 459, 564, 568, 611

Given numbers are 814, 780, 600, 872
The greatest common divisor of numbers 814, 780, 600, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 780, 600, 872 is 2.

1. What is the GCD of 814, 780, 600, 872?

GCD of given numbers 814, 780, 600, 872 is 2

2. How to calculate the greatest common divisor of 814, 780, 600, 872?

We can find the highest common divisor of 814, 780, 600, 872 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, 780, 600, 872 i.e 2.

3. How can I use the GCD of 814, 780, 600, 872Calculator?

Out the numbers 814, 780, 600, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.