GCD of 112, 361, 675, 576 Calculator

Given Input numbers are 112, 361, 675, 576

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

Divisors of 112 :

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

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (112, 361, 675, 576) = 1.

Given numbers are 112, 361, 675, 576

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 112, 361, 675, 576

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

Apply this formula for all numbers.

Step1:

LCM(112, 361) = 40432

GCD(112, 361) = ( 112 x 361 ) / 40432

= 112 / 361

= 112

Step2:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 112, 361, 675, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 270, 420, 260
• GCD of 185, 201, 913, 780
• GCD of 275, 661, 223, 901
• GCD of 980, 639, 681, 541
• GCD of 967, 351, 158, 832

Given numbers are 112, 361, 675, 576
The greatest common divisor of numbers 112, 361, 675, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 361, 675, 576 is 1.

1. What is the GCD of 112, 361, 675, 576?

GCD of given numbers 112, 361, 675, 576 is 1

2. How to calculate the greatest common divisor of 112, 361, 675, 576?

We can find the highest common divisor of 112, 361, 675, 576 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 112, 361, 675, 576 i.e 1.

3. How can I use the GCD of 112, 361, 675, 576Calculator?

Out the numbers 112, 361, 675, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.