GCD of 380, 900, 367, 684 Calculator

Given Input numbers are 380, 900, 367, 684

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (380, 900, 367, 684) = 1.

Given numbers are 380, 900, 367, 684

The list of prime factors of all numbers are

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 367 are 367

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 380, 900, 367, 684

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

Apply this formula for all numbers.

Step1:

LCM(380, 900) = 17100

GCD(380, 900) = ( 380 x 900 ) / 17100

= 380 / 900

= 380

Step2:

LCM(20, 367) = 7340

GCD(20, 367) = ( 20 x 367 ) / 7340

= 20 / 367

= 20

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 380, 900, 367, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 715, 245, 417
• GCD of 328, 630, 970, 541
• GCD of 189, 480, 215, 279
• GCD of 626, 611, 463, 273
• GCD of 869, 351, 781, 746

Given numbers are 380, 900, 367, 684
The greatest common divisor of numbers 380, 900, 367, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 900, 367, 684 is 1.

1. What is the GCD of 380, 900, 367, 684?

GCD of given numbers 380, 900, 367, 684 is 1

2. How to calculate the greatest common divisor of 380, 900, 367, 684?

We can find the highest common divisor of 380, 900, 367, 684 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, 900, 367, 684 i.e 1.

3. How can I use the GCD of 380, 900, 367, 684Calculator?

Out the numbers 380, 900, 367, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.