GCD of 908, 288, 516, 164 Calculator

Given Input numbers are 908, 288, 516, 164

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 (908, 288, 516, 164) = 4.

Given numbers are 908, 288, 516, 164

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 908, 288, 516, 164 is 4.

Given numbers are 908, 288, 516, 164

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

Apply this formula for all numbers.

Step1:

LCM(908, 288) = 65376

GCD(908, 288) = ( 908 x 288 ) / 65376

= 908 / 288

= 908

Step2:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

Step3:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4

So, Greatest Common Divisor of 908, 288, 516, 164 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 219, 483, 424
• GCD of 105, 918, 551, 170
• GCD of 523, 105, 144, 118
• GCD of 792, 884, 678, 601
• GCD of 196, 340, 998, 515

Given numbers are 908, 288, 516, 164
The greatest common divisor of numbers 908, 288, 516, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 288, 516, 164 is 4.

1. What is the GCD of 908, 288, 516, 164?

GCD of given numbers 908, 288, 516, 164 is 4

2. How to calculate the greatest common divisor of 908, 288, 516, 164?

We can find the highest common divisor of 908, 288, 516, 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 908, 288, 516, 164 i.e 4.

3. How can I use the GCD of 908, 288, 516, 164Calculator?

Out the numbers 908, 288, 516, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.