GCD of 59, 36, 19, 14 Calculator

Given Input numbers are 59, 36, 19, 14

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

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

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 19 :

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

1, 19

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

GCD of numbers is the greatest common divisor

So, the GCD (59, 36, 19, 14) = 1.

Given numbers are 59, 36, 19, 14

The list of prime factors of all numbers are

Prime factors of 59 are 59

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

Prime factors of 19 are 19

Prime factors of 14 are 2 x 7

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

Given numbers are 59, 36, 19, 14

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

Apply this formula for all numbers.

Step1:

LCM(59, 36) = 2124

GCD(59, 36) = ( 59 x 36 ) / 2124

= 59 / 36

= 59

Step2:

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

= 1 / 19

= 1

Step3:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

So, Greatest Common Divisor of 59, 36, 19, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 77, 82, 93
• GCD of 60, 72, 59, 60
• GCD of 93, 67, 92, 57
• GCD of 46, 90, 65, 76
• GCD of 14, 54, 52, 15

Given numbers are 59, 36, 19, 14
The greatest common divisor of numbers 59, 36, 19, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 59, 36, 19, 14 is 1.

1. What is the GCD of 59, 36, 19, 14?

GCD of given numbers 59, 36, 19, 14 is 1

2. How to calculate the greatest common divisor of 59, 36, 19, 14?

We can find the highest common divisor of 59, 36, 19, 14 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 59, 36, 19, 14 i.e 1.

3. How can I use the GCD of 59, 36, 19, 14Calculator?

Out the numbers 59, 36, 19, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.