GCD of 63, 78, 14, 65 Calculator

Given Input numbers are 63, 78, 14, 65

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 14

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

1, 2, 7, 14

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 63, 78, 14, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 78, 14, 65 is 1.

Therefore, GCD of numbers 63, 78, 14, 65 is 1

Given Input Data is 63, 78, 14, 65

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 14 is 2 x 7

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(63, 78) = 1638

GCD(63, 78) = ( 63 x 78 ) / 1638

GCD(63, 78) = 4914 / 1638

GCD(63, 78) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 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 63, 78, 14, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 47, 92, 74
• GCD of 61, 93, 84, 70
• GCD of 77, 75, 55, 25
• GCD of 19, 35, 31, 15
• GCD of 85, 77, 52, 70

1. What is the GCD of 63, 78, 14, 65?

GCD of 63, 78, 14, 65 is 1

2. Where do I get the detailed procedure to find GCD of 63, 78, 14, 65?

You can find a detailed procedure to find GCD of 63, 78, 14, 65 on our page.

3. How to find GCD of 63, 78, 14, 65 on a calculator?

You can find the GCD of 63, 78, 14, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.