GCD of 390, 400, 30 Calculator

Given Input numbers are 390, 400, 30

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (390, 400, 30) = 10.

Given numbers are 390, 400, 30

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 390, 400, 30 is 10.

Given numbers are 390, 400, 30

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

Apply this formula for all numbers.

Step1:

LCM(390, 400) = 15600

GCD(390, 400) = ( 390 x 400 ) / 15600

= 390 / 400

= 390

Step2:

LCM(10, 30) = 30

GCD(10, 30) = ( 10 x 30 ) / 30

= 10 / 30

= 10

So, Greatest Common Divisor of 390, 400, 30 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 471, 37
• GCD of 203, 701, 81
• GCD of 921, 503, 20
• GCD of 715, 238, 62
• GCD of 821, 339, 88

Given numbers are 390, 400, 30
The greatest common divisor of numbers 390, 400, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 400, 30 is 10.

1. What is the GCD of 390, 400, 30?

GCD of given numbers 390, 400, 30 is 10

2. How to calculate the greatest common divisor of 390, 400, 30?

We can find the highest common divisor of 390, 400, 30 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 390, 400, 30 i.e 10.

3. How can I use the GCD of 390, 400, 30Calculator?

Out the numbers 390, 400, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.