GCD of 319, 200, 288, 442 Calculator

Given Input numbers are 319, 200, 288, 442

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

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (319, 200, 288, 442) = 1.

Given numbers are 319, 200, 288, 442

The list of prime factors of all numbers are

Prime factors of 319 are 11 x 29

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 319, 200, 288, 442

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

Apply this formula for all numbers.

Step1:

LCM(319, 200) = 63800

GCD(319, 200) = ( 319 x 200 ) / 63800

= 319 / 200

= 319

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 319, 200, 288, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 441, 775, 177
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• GCD of 626, 681, 137, 149
• GCD of 709, 739, 338, 251
• GCD of 688, 210, 185, 411

Given numbers are 319, 200, 288, 442
The greatest common divisor of numbers 319, 200, 288, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 319, 200, 288, 442 is 1.

1. What is the GCD of 319, 200, 288, 442?

GCD of given numbers 319, 200, 288, 442 is 1

2. How to calculate the greatest common divisor of 319, 200, 288, 442?

We can find the highest common divisor of 319, 200, 288, 442 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 319, 200, 288, 442 i.e 1.

3. How can I use the GCD of 319, 200, 288, 442Calculator?

Out the numbers 319, 200, 288, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.