GCD of 65, 41, 14 Calculator

Given Input numbers are 65, 41, 14

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

Divisors of 65

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

1, 5, 13, 65

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 65, 41, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 41, 14 is 1.

Therefore, GCD of numbers 65, 41, 14 is 1

Given Input Data is 65, 41, 14

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 41 is 41

Prime Factorization of 14 is 2 x 7

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(65, 41) = 2665

GCD(65, 41) = ( 65 x 41 ) / 2665

GCD(65, 41) = 2665 / 2665

GCD(65, 41) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

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

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 65, 41, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 61, 98
• GCD of 41, 58, 58
• GCD of 55, 56, 11
• GCD of 66, 82, 96
• GCD of 41, 18, 20

1. What is the GCD of 65, 41, 14?

GCD of 65, 41, 14 is 1

2. Where do I get the detailed procedure to find GCD of 65, 41, 14?

You can find a detailed procedure to find GCD of 65, 41, 14 on our page.

3. How to find GCD of 65, 41, 14 on a calculator?

You can find the GCD of 65, 41, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.