GCD of 369, 380, 112, 405 Calculator

Given Input numbers are 369, 380, 112, 405

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (369, 380, 112, 405) = 1.

Given numbers are 369, 380, 112, 405

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

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

Given numbers are 369, 380, 112, 405

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

Apply this formula for all numbers.

Step1:

LCM(369, 380) = 140220

GCD(369, 380) = ( 369 x 380 ) / 140220

= 369 / 380

= 369

Step2:

LCM(1, 112) = 112

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

= 1 / 112

= 1

Step3:

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

= 1 / 405

= 1

So, Greatest Common Divisor of 369, 380, 112, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 600, 544, 403
• GCD of 372, 711, 807, 562
• GCD of 624, 893, 389, 465
• GCD of 478, 967, 391, 986
• GCD of 132, 540, 133, 795

Given numbers are 369, 380, 112, 405
The greatest common divisor of numbers 369, 380, 112, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 380, 112, 405 is 1.

1. What is the GCD of 369, 380, 112, 405?

GCD of given numbers 369, 380, 112, 405 is 1

2. How to calculate the greatest common divisor of 369, 380, 112, 405?

We can find the highest common divisor of 369, 380, 112, 405 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 369, 380, 112, 405 i.e 1.

3. How can I use the GCD of 369, 380, 112, 405Calculator?

Out the numbers 369, 380, 112, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.