GCD of 814, 164, 384, 964 Calculator

Given Input numbers are 814, 164, 384, 964

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (814, 164, 384, 964) = 2.

Given numbers are 814, 164, 384, 964

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 164 are 2 x 2 x 41

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 814, 164, 384, 964 is 2.

Given numbers are 814, 164, 384, 964

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

Apply this formula for all numbers.

Step1:

LCM(814, 164) = 66748

GCD(814, 164) = ( 814 x 164 ) / 66748

= 814 / 164

= 814

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 814, 164, 384, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 302, 548, 874
• GCD of 105, 521, 180, 248
• GCD of 850, 710, 659, 348
• GCD of 465, 429, 495, 424
• GCD of 821, 864, 160, 655

Given numbers are 814, 164, 384, 964
The greatest common divisor of numbers 814, 164, 384, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 164, 384, 964 is 2.

1. What is the GCD of 814, 164, 384, 964?

GCD of given numbers 814, 164, 384, 964 is 2

2. How to calculate the greatest common divisor of 814, 164, 384, 964?

We can find the highest common divisor of 814, 164, 384, 964 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, 164, 384, 964 i.e 2.

3. How can I use the GCD of 814, 164, 384, 964Calculator?

Out the numbers 814, 164, 384, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.