GCD of 196, 164, 384, 300 Calculator

Given Input numbers are 196, 164, 384, 300

In the factoring method, we have to find the divisors of all numbers

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 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 (196, 164, 384, 300) = 4.

Given numbers are 196, 164, 384, 300

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

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 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 196, 164, 384, 300 is 4.

Given numbers are 196, 164, 384, 300

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

Apply this formula for all numbers.

Step1:

LCM(196, 164) = 8036

GCD(196, 164) = ( 196 x 164 ) / 8036

= 196 / 164

= 196

Step2:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

Step3:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 196, 164, 384, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 915, 418, 414
• GCD of 358, 865, 910, 529
• GCD of 671, 373, 685, 235
• GCD of 979, 653, 528, 268
• GCD of 872, 386, 449, 459

Given numbers are 196, 164, 384, 300
The greatest common divisor of numbers 196, 164, 384, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 164, 384, 300 is 4.

1. What is the GCD of 196, 164, 384, 300?

GCD of given numbers 196, 164, 384, 300 is 4

2. How to calculate the greatest common divisor of 196, 164, 384, 300?

We can find the highest common divisor of 196, 164, 384, 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 196, 164, 384, 300 i.e 4.

3. How can I use the GCD of 196, 164, 384, 300Calculator?

Out the numbers 196, 164, 384, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.