GCD of 238, 446, 984, 304 Calculator

Given Input numbers are 238, 446, 984, 304

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 304 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (238, 446, 984, 304) = 2.

Given numbers are 238, 446, 984, 304

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 446 are 2 x 223

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 238, 446, 984, 304 is 2.

Given numbers are 238, 446, 984, 304

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

Apply this formula for all numbers.

Step1:

LCM(238, 446) = 53074

GCD(238, 446) = ( 238 x 446 ) / 53074

= 238 / 446

= 238

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 238, 446, 984, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 584, 185, 399
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• GCD of 583, 429, 934, 672

Given numbers are 238, 446, 984, 304
The greatest common divisor of numbers 238, 446, 984, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 446, 984, 304 is 2.

1. What is the GCD of 238, 446, 984, 304?

GCD of given numbers 238, 446, 984, 304 is 2

2. How to calculate the greatest common divisor of 238, 446, 984, 304?

We can find the highest common divisor of 238, 446, 984, 304 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 238, 446, 984, 304 i.e 2.

3. How can I use the GCD of 238, 446, 984, 304Calculator?

Out the numbers 238, 446, 984, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.