GCD of 476, 204, 320, 188 Calculator

Given Input numbers are 476, 204, 320, 188

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (476, 204, 320, 188) = 4.

Given numbers are 476, 204, 320, 188

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2²

Therefore, GCD of 476, 204, 320, 188 is 4.

Given numbers are 476, 204, 320, 188

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

Apply this formula for all numbers.

Step1:

LCM(476, 204) = 1428

GCD(476, 204) = ( 476 x 204 ) / 1428

= 476 / 204

= 476

Step2:

LCM(68, 320) = 5440

GCD(68, 320) = ( 68 x 320 ) / 5440

= 68 / 320

= 68

Step3:

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

= 4 / 188

= 4

So, Greatest Common Divisor of 476, 204, 320, 188 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 400, 320, 314
• GCD of 410, 906, 928, 403
• GCD of 388, 723, 347, 703
• GCD of 607, 164, 336, 722
• GCD of 267, 249, 351, 708

Given numbers are 476, 204, 320, 188
The greatest common divisor of numbers 476, 204, 320, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 204, 320, 188 is 4.

1. What is the GCD of 476, 204, 320, 188?

GCD of given numbers 476, 204, 320, 188 is 4

2. How to calculate the greatest common divisor of 476, 204, 320, 188?

We can find the highest common divisor of 476, 204, 320, 188 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 476, 204, 320, 188 i.e 4.

3. How can I use the GCD of 476, 204, 320, 188Calculator?

Out the numbers 476, 204, 320, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.