GCD of 36, 38, 17, 13 Calculator

Given Input numbers are 36, 38, 17, 13

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

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 17 :

The positive integer divisors of 17 that completely divides 17 are.

1, 17

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 (36, 38, 17, 13) = 1.

Given numbers are 36, 38, 17, 13

The list of prime factors of all numbers are

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 38 are 2 x 19

Prime factors of 17 are 17

Prime factors of 13 are 13

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

Given numbers are 36, 38, 17, 13

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

Apply this formula for all numbers.

Step1:

LCM(36, 38) = 684

GCD(36, 38) = ( 36 x 38 ) / 684

= 36 / 38

= 36

Step2:

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

= 2 / 17

= 2

Step3:

LCM(1, 13) = 13

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

= 1 / 13

= 1

So, Greatest Common Divisor of 36, 38, 17, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 81, 83, 92
• GCD of 17, 11, 26, 27
• GCD of 93, 15, 88, 96
• GCD of 25, 21, 40, 61
• GCD of 38, 36, 81, 57

Given numbers are 36, 38, 17, 13
The greatest common divisor of numbers 36, 38, 17, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 36, 38, 17, 13 is 1.

1. What is the GCD of 36, 38, 17, 13?

GCD of given numbers 36, 38, 17, 13 is 1

2. How to calculate the greatest common divisor of 36, 38, 17, 13?

We can find the highest common divisor of 36, 38, 17, 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 36, 38, 17, 13 i.e 1.

3. How can I use the GCD of 36, 38, 17, 13Calculator?

Out the numbers 36, 38, 17, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.