GCD of 30, 19, 10, 13 Calculator

Given Input numbers are 30, 19, 10, 13

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

Divisors of 30 :

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

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

Divisors of 19 :

The positive integer divisors of 19 that completely divides 19 are.

1, 19

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (30, 19, 10, 13) = 1.

Given numbers are 30, 19, 10, 13

The list of prime factors of all numbers are

Prime factors of 30 are 2 x 3 x 5

Prime factors of 19 are 19

Prime factors of 10 are 2 x 5

Prime factors of 13 are 13

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

Given numbers are 30, 19, 10, 13

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

Apply this formula for all numbers.

Step1:

LCM(30, 19) = 570

GCD(30, 19) = ( 30 x 19 ) / 570

= 30 / 19

= 30

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

So, Greatest Common Divisor of 30, 19, 10, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 68, 83, 81
• GCD of 82, 99, 60, 68
• GCD of 52, 14, 74, 68
• GCD of 37, 18, 96, 86
• GCD of 81, 47, 93, 66

Given numbers are 30, 19, 10, 13
The greatest common divisor of numbers 30, 19, 10, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 30, 19, 10, 13 is 1.

1. What is the GCD of 30, 19, 10, 13?

GCD of given numbers 30, 19, 10, 13 is 1

2. How to calculate the greatest common divisor of 30, 19, 10, 13?

We can find the highest common divisor of 30, 19, 10, 13 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 30, 19, 10, 13 i.e 1.

3. How can I use the GCD of 30, 19, 10, 13Calculator?

Out the numbers 30, 19, 10, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.