GCD of 204, 298, 998, 738 Calculator

Given Input numbers are 204, 298, 998, 738

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (204, 298, 998, 738) = 2.

Given numbers are 204, 298, 998, 738

The list of prime factors of all numbers are

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

Prime factors of 298 are 2 x 149

Prime factors of 998 are 2 x 499

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 204, 298, 998, 738 is 2.

Given numbers are 204, 298, 998, 738

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

Apply this formula for all numbers.

Step1:

LCM(204, 298) = 30396

GCD(204, 298) = ( 204 x 298 ) / 30396

= 204 / 298

= 204

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 204, 298, 998, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 737, 369, 962
• GCD of 106, 257, 438, 186
• GCD of 602, 444, 186, 467
• GCD of 458, 785, 884, 116
• GCD of 600, 856, 605, 194

Given numbers are 204, 298, 998, 738
The greatest common divisor of numbers 204, 298, 998, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 298, 998, 738 is 2.

1. What is the GCD of 204, 298, 998, 738?

GCD of given numbers 204, 298, 998, 738 is 2

2. How to calculate the greatest common divisor of 204, 298, 998, 738?

We can find the highest common divisor of 204, 298, 998, 738 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, 298, 998, 738 i.e 2.

3. How can I use the GCD of 204, 298, 998, 738Calculator?

Out the numbers 204, 298, 998, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.