GCD of 204, 536, 358, 404 Calculator

Given Input numbers are 204, 536, 358, 404

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

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 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (204, 536, 358, 404) = 2.

Given numbers are 204, 536, 358, 404

The list of prime factors of all numbers are

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

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 358 are 2 x 179

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 204, 536, 358, 404 is 2.

Given numbers are 204, 536, 358, 404

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

Apply this formula for all numbers.

Step1:

LCM(204, 536) = 27336

GCD(204, 536) = ( 204 x 536 ) / 27336

= 204 / 536

= 204

Step2:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 204, 536, 358, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 268, 518, 847
• GCD of 257, 280, 103, 661
• GCD of 862, 795, 977, 322
• GCD of 115, 776, 113, 409
• GCD of 365, 258, 365, 600

Given numbers are 204, 536, 358, 404
The greatest common divisor of numbers 204, 536, 358, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 536, 358, 404 is 2.

1. What is the GCD of 204, 536, 358, 404?

GCD of given numbers 204, 536, 358, 404 is 2

2. How to calculate the greatest common divisor of 204, 536, 358, 404?

We can find the highest common divisor of 204, 536, 358, 404 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 204, 536, 358, 404 i.e 2.

3. How can I use the GCD of 204, 536, 358, 404Calculator?

Out the numbers 204, 536, 358, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.