GCD of 37, 65, 36, 14 Calculator

Given Input numbers are 37, 65, 36, 14

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

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

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 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 (37, 65, 36, 14) = 1.

Given numbers are 37, 65, 36, 14

The list of prime factors of all numbers are

Prime factors of 37 are 37

Prime factors of 65 are 5 x 13

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

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 37, 65, 36, 14

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

Apply this formula for all numbers.

Step1:

LCM(37, 65) = 2405

GCD(37, 65) = ( 37 x 65 ) / 2405

= 37 / 65

= 37

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

Step3:

LCM(1, 14) = 14

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

= 1 / 14

= 1

So, Greatest Common Divisor of 37, 65, 36, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 53, 58, 50
• GCD of 71, 88, 43, 41
• GCD of 97, 83, 60, 89
• GCD of 33, 73, 83, 55
• GCD of 72, 79, 76, 88

Given numbers are 37, 65, 36, 14
The greatest common divisor of numbers 37, 65, 36, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 37, 65, 36, 14 is 1.

1. What is the GCD of 37, 65, 36, 14?

GCD of given numbers 37, 65, 36, 14 is 1

2. How to calculate the greatest common divisor of 37, 65, 36, 14?

We can find the highest common divisor of 37, 65, 36, 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 37, 65, 36, 14 i.e 1.

3. How can I use the GCD of 37, 65, 36, 14Calculator?

Out the numbers 37, 65, 36, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.