GCD of 380, 119, 472, 312 Calculator

Given Input numbers are 380, 119, 472, 312

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

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 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (380, 119, 472, 312) = 1.

Given numbers are 380, 119, 472, 312

The list of prime factors of all numbers are

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

Prime factors of 119 are 7 x 17

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 380, 119, 472, 312

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

Apply this formula for all numbers.

Step1:

LCM(380, 119) = 45220

GCD(380, 119) = ( 380 x 119 ) / 45220

= 380 / 119

= 380

Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 380, 119, 472, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 497, 437, 710
• GCD of 735, 851, 538, 626
• GCD of 325, 720, 384, 146
• GCD of 322, 469, 764, 298
• GCD of 705, 181, 323, 569

Given numbers are 380, 119, 472, 312
The greatest common divisor of numbers 380, 119, 472, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 119, 472, 312 is 1.

1. What is the GCD of 380, 119, 472, 312?

GCD of given numbers 380, 119, 472, 312 is 1

2. How to calculate the greatest common divisor of 380, 119, 472, 312?

We can find the highest common divisor of 380, 119, 472, 312 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 380, 119, 472, 312 i.e 1.

3. How can I use the GCD of 380, 119, 472, 312Calculator?

Out the numbers 380, 119, 472, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.