GCD of 196, 368, 590, 204 Calculator

Given Input numbers are 196, 368, 590, 204

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

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (196, 368, 590, 204) = 2.

Given numbers are 196, 368, 590, 204

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 590 are 2 x 5 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 196, 368, 590, 204 is 2.

Given numbers are 196, 368, 590, 204

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

Apply this formula for all numbers.

Step1:

LCM(196, 368) = 18032

GCD(196, 368) = ( 196 x 368 ) / 18032

= 196 / 368

= 196

Step2:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

Step3:

LCM(2, 204) = 204

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

= 2 / 204

= 2

So, Greatest Common Divisor of 196, 368, 590, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 542, 995, 159
• GCD of 383, 632, 598, 975
• GCD of 559, 946, 895, 122
• GCD of 648, 984, 991, 120
• GCD of 289, 614, 192, 587

Given numbers are 196, 368, 590, 204
The greatest common divisor of numbers 196, 368, 590, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 368, 590, 204 is 2.

1. What is the GCD of 196, 368, 590, 204?

GCD of given numbers 196, 368, 590, 204 is 2

2. How to calculate the greatest common divisor of 196, 368, 590, 204?

We can find the highest common divisor of 196, 368, 590, 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 196, 368, 590, 204 i.e 2.

3. How can I use the GCD of 196, 368, 590, 204Calculator?

Out the numbers 196, 368, 590, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.