GCD of 908, 304, 164, 400 Calculator

Given Input numbers are 908, 304, 164, 400

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

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 (908, 304, 164, 400) = 4.

Given numbers are 908, 304, 164, 400

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 164 are 2 x 2 x 41

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

The highest common occurrence is 2²

Therefore, GCD of 908, 304, 164, 400 is 4.

Given numbers are 908, 304, 164, 400

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

Apply this formula for all numbers.

Step1:

LCM(908, 304) = 69008

GCD(908, 304) = ( 908 x 304 ) / 69008

= 908 / 304

= 908

Step2:

LCM(4, 164) = 164

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

= 4 / 164

= 4

Step3:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

So, Greatest Common Divisor of 908, 304, 164, 400 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 784, 836, 788
• GCD of 693, 540, 547, 367
• GCD of 603, 159, 715, 182
• GCD of 868, 228, 379, 908
• GCD of 945, 244, 245, 383

Given numbers are 908, 304, 164, 400
The greatest common divisor of numbers 908, 304, 164, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 304, 164, 400 is 4.

1. What is the GCD of 908, 304, 164, 400?

GCD of given numbers 908, 304, 164, 400 is 4

2. How to calculate the greatest common divisor of 908, 304, 164, 400?

We can find the highest common divisor of 908, 304, 164, 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 908, 304, 164, 400 i.e 4.

3. How can I use the GCD of 908, 304, 164, 400Calculator?

Out the numbers 908, 304, 164, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.