GCD of 204, 338, 500, 426 Calculator

Given Input numbers are 204, 338, 500, 426

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (204, 338, 500, 426) = 2.

Given numbers are 204, 338, 500, 426

The list of prime factors of all numbers are

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 204, 338, 500, 426 is 2.

Given numbers are 204, 338, 500, 426

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

Apply this formula for all numbers.

Step1:

LCM(204, 338) = 34476

GCD(204, 338) = ( 204 x 338 ) / 34476

= 204 / 338

= 204

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

So, Greatest Common Divisor of 204, 338, 500, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 545, 745, 131
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• GCD of 297, 549, 178, 318
• GCD of 985, 800, 964, 104

Given numbers are 204, 338, 500, 426
The greatest common divisor of numbers 204, 338, 500, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 338, 500, 426 is 2.

1. What is the GCD of 204, 338, 500, 426?

GCD of given numbers 204, 338, 500, 426 is 2

2. How to calculate the greatest common divisor of 204, 338, 500, 426?

We can find the highest common divisor of 204, 338, 500, 426 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, 338, 500, 426 i.e 2.

3. How can I use the GCD of 204, 338, 500, 426Calculator?

Out the numbers 204, 338, 500, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.