GCD of 14, 37, 53, 65 Calculator

Given Input numbers are 14, 37, 53, 65

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 14, 37, 53, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 37, 53, 65 is 1.

Therefore, GCD of numbers 14, 37, 53, 65 is 1

Given Input Data is 14, 37, 53, 65

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 14 is 2 x 7

Prime Factorization of 37 is 37

Prime Factorization of 53 is 53

Prime Factorization of 65 is 5 x 13

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(14, 37) = 518

GCD(14, 37) = ( 14 x 37 ) / 518

GCD(14, 37) = 518 / 518

GCD(14, 37) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 14, 37, 53, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 15, 31, 95
• GCD of 87, 31, 46, 53
• GCD of 30, 66, 76, 60
• GCD of 67, 75, 31, 60
• GCD of 58, 43, 11, 20

1. What is the GCD of 14, 37, 53, 65?

GCD of 14, 37, 53, 65 is 1

2. Where do I get the detailed procedure to find GCD of 14, 37, 53, 65?

You can find a detailed procedure to find GCD of 14, 37, 53, 65 on our page.

3. How to find GCD of 14, 37, 53, 65 on a calculator?

You can find the GCD of 14, 37, 53, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.