GCD of 180, 295, 288, 112 Calculator

Given Input numbers are 180, 295, 288, 112

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (180, 295, 288, 112) = 1.

Given numbers are 180, 295, 288, 112

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 295 are 5 x 59

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 180, 295, 288, 112

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

Apply this formula for all numbers.

Step1:

LCM(180, 295) = 10620

GCD(180, 295) = ( 180 x 295 ) / 10620

= 180 / 295

= 180

Step2:

LCM(5, 288) = 1440

GCD(5, 288) = ( 5 x 288 ) / 1440

= 5 / 288

= 5

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 180, 295, 288, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 462, 769, 709
• GCD of 185, 687, 639, 147
• GCD of 327, 886, 318, 368
• GCD of 819, 357, 375, 435
• GCD of 731, 639, 573, 867

Given numbers are 180, 295, 288, 112
The greatest common divisor of numbers 180, 295, 288, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 295, 288, 112 is 1.

1. What is the GCD of 180, 295, 288, 112?

GCD of given numbers 180, 295, 288, 112 is 1

2. How to calculate the greatest common divisor of 180, 295, 288, 112?

We can find the highest common divisor of 180, 295, 288, 112 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 180, 295, 288, 112 i.e 1.

3. How can I use the GCD of 180, 295, 288, 112Calculator?

Out the numbers 180, 295, 288, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.