GCD of 208, 190, 164 Calculator

Given Input numbers are 208, 190, 164

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (208, 190, 164) = 2.

Given numbers are 208, 190, 164

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 190 are 2 x 5 x 19

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 208, 190, 164 is 2.

Given numbers are 208, 190, 164

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

Apply this formula for all numbers.

Step1:

LCM(208, 190) = 19760

GCD(208, 190) = ( 208 x 190 ) / 19760

= 208 / 190

= 208

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

So, Greatest Common Divisor of 208, 190, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 522, 407
• GCD of 588, 721, 525
• GCD of 865, 551, 260
• GCD of 368, 306, 841
• GCD of 137, 814, 468

Given numbers are 208, 190, 164
The greatest common divisor of numbers 208, 190, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 190, 164 is 2.

1. What is the GCD of 208, 190, 164?

GCD of given numbers 208, 190, 164 is 2

2. How to calculate the greatest common divisor of 208, 190, 164?

We can find the highest common divisor of 208, 190, 164 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 208, 190, 164 i.e 2.

3. How can I use the GCD of 208, 190, 164Calculator?

Out the numbers 208, 190, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.