GCD of 380, 294, 39, 828 Calculator

Given Input numbers are 380, 294, 39, 828

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (380, 294, 39, 828) = 1.

Given numbers are 380, 294, 39, 828

The list of prime factors of all numbers are

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

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 39 are 3 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 380, 294, 39, 828

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

Apply this formula for all numbers.

Step1:

LCM(380, 294) = 55860

GCD(380, 294) = ( 380 x 294 ) / 55860

= 380 / 294

= 380

Step2:

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

= 2 / 39

= 2

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 380, 294, 39, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 188, 87, 993
• GCD of 463, 587, 82, 782
• GCD of 320, 444, 72, 477
• GCD of 521, 726, 75, 858
• GCD of 827, 290, 44, 519

Given numbers are 380, 294, 39, 828
The greatest common divisor of numbers 380, 294, 39, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 294, 39, 828 is 1.

1. What is the GCD of 380, 294, 39, 828?

GCD of given numbers 380, 294, 39, 828 is 1

2. How to calculate the greatest common divisor of 380, 294, 39, 828?

We can find the highest common divisor of 380, 294, 39, 828 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, 294, 39, 828 i.e 1.

3. How can I use the GCD of 380, 294, 39, 828Calculator?

Out the numbers 380, 294, 39, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.