GCD of 360, 231, 445, 448 Calculator

Given Input numbers are 360, 231, 445, 448

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (360, 231, 445, 448) = 1.

Given numbers are 360, 231, 445, 448

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 231 are 3 x 7 x 11

Prime factors of 445 are 5 x 89

Prime factors of 448 are 2 x 2 x 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 360, 231, 445, 448

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

Apply this formula for all numbers.

Step1:

LCM(360, 231) = 27720

GCD(360, 231) = ( 360 x 231 ) / 27720

= 360 / 231

= 360

Step2:

LCM(3, 445) = 1335

GCD(3, 445) = ( 3 x 445 ) / 1335

= 3 / 445

= 3

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 360, 231, 445, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 919, 162, 993
• GCD of 492, 409, 729, 745
• GCD of 342, 481, 362, 454
• GCD of 602, 916, 756, 805
• GCD of 292, 947, 473, 386

Given numbers are 360, 231, 445, 448
The greatest common divisor of numbers 360, 231, 445, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 231, 445, 448 is 1.

1. What is the GCD of 360, 231, 445, 448?

GCD of given numbers 360, 231, 445, 448 is 1

2. How to calculate the greatest common divisor of 360, 231, 445, 448?

We can find the highest common divisor of 360, 231, 445, 448 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 360, 231, 445, 448 i.e 1.

3. How can I use the GCD of 360, 231, 445, 448Calculator?

Out the numbers 360, 231, 445, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.