GCD of 188, 378, 908, 504 Calculator

Given Input numbers are 188, 378, 908, 504

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (188, 378, 908, 504) = 2.

Given numbers are 188, 378, 908, 504

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 908 are 2 x 2 x 227

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 188, 378, 908, 504 is 2.

Given numbers are 188, 378, 908, 504

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

Apply this formula for all numbers.

Step1:

LCM(188, 378) = 35532

GCD(188, 378) = ( 188 x 378 ) / 35532

= 188 / 378

= 188

Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 188, 378, 908, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 184, 796, 249
• GCD of 337, 645, 949, 736
• GCD of 544, 182, 778, 114
• GCD of 370, 568, 502, 151
• GCD of 206, 457, 630, 982

Given numbers are 188, 378, 908, 504
The greatest common divisor of numbers 188, 378, 908, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 378, 908, 504 is 2.

1. What is the GCD of 188, 378, 908, 504?

GCD of given numbers 188, 378, 908, 504 is 2

2. How to calculate the greatest common divisor of 188, 378, 908, 504?

We can find the highest common divisor of 188, 378, 908, 504 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 188, 378, 908, 504 i.e 2.

3. How can I use the GCD of 188, 378, 908, 504Calculator?

Out the numbers 188, 378, 908, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.