GCD of 304, 550, 508, 998 Calculator

Given Input numbers are 304, 550, 508, 998

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (304, 550, 508, 998) = 2.

Given numbers are 304, 550, 508, 998

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 508 are 2 x 2 x 127

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 304, 550, 508, 998 is 2.

Given numbers are 304, 550, 508, 998

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

Apply this formula for all numbers.

Step1:

LCM(304, 550) = 83600

GCD(304, 550) = ( 304 x 550 ) / 83600

= 304 / 550

= 304

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 998) = 998

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

= 2 / 998

= 2

So, Greatest Common Divisor of 304, 550, 508, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 383, 655, 322
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• GCD of 602, 381, 245, 233

Given numbers are 304, 550, 508, 998
The greatest common divisor of numbers 304, 550, 508, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 550, 508, 998 is 2.

1. What is the GCD of 304, 550, 508, 998?

GCD of given numbers 304, 550, 508, 998 is 2

2. How to calculate the greatest common divisor of 304, 550, 508, 998?

We can find the highest common divisor of 304, 550, 508, 998 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 304, 550, 508, 998 i.e 2.

3. How can I use the GCD of 304, 550, 508, 998Calculator?

Out the numbers 304, 550, 508, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.