GCD of 814, 132, 330, 400 Calculator

Given Input numbers are 814, 132, 330, 400

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (814, 132, 330, 400) = 2.

Given numbers are 814, 132, 330, 400

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 814, 132, 330, 400 is 2.

Given numbers are 814, 132, 330, 400

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

Apply this formula for all numbers.

Step1:

LCM(814, 132) = 4884

GCD(814, 132) = ( 814 x 132 ) / 4884

= 814 / 132

= 814

Step2:

LCM(22, 330) = 330

GCD(22, 330) = ( 22 x 330 ) / 330

= 22 / 330

= 22

Step3:

LCM(22, 400) = 4400

GCD(22, 400) = ( 22 x 400 ) / 4400

= 22 / 400

= 22

So, Greatest Common Divisor of 814, 132, 330, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 152, 644, 436
• GCD of 545, 982, 883, 620
• GCD of 411, 975, 494, 644
• GCD of 367, 805, 236, 476
• GCD of 325, 362, 512, 550

Given numbers are 814, 132, 330, 400
The greatest common divisor of numbers 814, 132, 330, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 132, 330, 400 is 2.

1. What is the GCD of 814, 132, 330, 400?

GCD of given numbers 814, 132, 330, 400 is 2

2. How to calculate the greatest common divisor of 814, 132, 330, 400?

We can find the highest common divisor of 814, 132, 330, 400 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, 132, 330, 400 i.e 2.

3. How can I use the GCD of 814, 132, 330, 400Calculator?

Out the numbers 814, 132, 330, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.