GCD of 372, 196, 230, 204 Calculator

Given Input numbers are 372, 196, 230, 204

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

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

GCD of numbers is the greatest common divisor

So, the GCD (372, 196, 230, 204) = 2.

Given numbers are 372, 196, 230, 204

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 230 are 2 x 5 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 372, 196, 230, 204 is 2.

Given numbers are 372, 196, 230, 204

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

Apply this formula for all numbers.

Step1:

LCM(372, 196) = 18228

GCD(372, 196) = ( 372 x 196 ) / 18228

= 372 / 196

= 372

Step2:

LCM(4, 230) = 460

GCD(4, 230) = ( 4 x 230 ) / 460

= 4 / 230

= 4

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 372, 196, 230, 204 is 2

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Given numbers are 372, 196, 230, 204
The greatest common divisor of numbers 372, 196, 230, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 196, 230, 204 is 2.

1. What is the GCD of 372, 196, 230, 204?

GCD of given numbers 372, 196, 230, 204 is 2

2. How to calculate the greatest common divisor of 372, 196, 230, 204?

We can find the highest common divisor of 372, 196, 230, 204 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 372, 196, 230, 204 i.e 2.

3. How can I use the GCD of 372, 196, 230, 204Calculator?

Out the numbers 372, 196, 230, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.