GCD of 180, 312, 114, 385 Calculator

Given Input numbers are 180, 312, 114, 385

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (180, 312, 114, 385) = 1.

Given numbers are 180, 312, 114, 385

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 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 114 are 2 x 3 x 19

Prime factors of 385 are 5 x 7 x 11

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

Given numbers are 180, 312, 114, 385

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

Apply this formula for all numbers.

Step1:

LCM(180, 312) = 4680

GCD(180, 312) = ( 180 x 312 ) / 4680

= 180 / 312

= 180

Step2:

LCM(12, 114) = 228

GCD(12, 114) = ( 12 x 114 ) / 228

= 12 / 114

= 12

Step3:

LCM(6, 385) = 2310

GCD(6, 385) = ( 6 x 385 ) / 2310

= 6 / 385

= 6

So, Greatest Common Divisor of 180, 312, 114, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 209, 787, 114
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Given numbers are 180, 312, 114, 385
The greatest common divisor of numbers 180, 312, 114, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 312, 114, 385 is 1.

1. What is the GCD of 180, 312, 114, 385?

GCD of given numbers 180, 312, 114, 385 is 1

2. How to calculate the greatest common divisor of 180, 312, 114, 385?

We can find the highest common divisor of 180, 312, 114, 385 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, 312, 114, 385 i.e 1.

3. How can I use the GCD of 180, 312, 114, 385Calculator?

Out the numbers 180, 312, 114, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.