GCD of 105, 288, 103, 382 Calculator

Given Input numbers are 105, 288, 103, 382

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (105, 288, 103, 382) = 1.

Given numbers are 105, 288, 103, 382

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 103 are 103

Prime factors of 382 are 2 x 191

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

Given numbers are 105, 288, 103, 382

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

Apply this formula for all numbers.

Step1:

LCM(105, 288) = 10080

GCD(105, 288) = ( 105 x 288 ) / 10080

= 105 / 288

= 105

Step2:

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

= 3 / 103

= 3

Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

So, Greatest Common Divisor of 105, 288, 103, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 323, 756, 926
• GCD of 655, 686, 426, 273
• GCD of 564, 686, 137, 304
• GCD of 743, 789, 104, 932
• GCD of 891, 937, 389, 285

Given numbers are 105, 288, 103, 382
The greatest common divisor of numbers 105, 288, 103, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 288, 103, 382 is 1.

1. What is the GCD of 105, 288, 103, 382?

GCD of given numbers 105, 288, 103, 382 is 1

2. How to calculate the greatest common divisor of 105, 288, 103, 382?

We can find the highest common divisor of 105, 288, 103, 382 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 105, 288, 103, 382 i.e 1.

3. How can I use the GCD of 105, 288, 103, 382Calculator?

Out the numbers 105, 288, 103, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.