GCD of 58, 66, 45, 14 Calculator

Given Input numbers are 58, 66, 45, 14

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 58, 66, 45, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 66, 45, 14 is 1.

Therefore, GCD of numbers 58, 66, 45, 14 is 1

Given Input Data is 58, 66, 45, 14

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 45 is 3 x 3 x 5

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(58, 66) = 1914

GCD(58, 66) = ( 58 x 66 ) / 1914

GCD(58, 66) = 3828 / 1914

GCD(58, 66) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

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 58, 66, 45, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 41, 21, 28
• GCD of 26, 78, 60, 99
• GCD of 29, 68, 65, 18
• GCD of 85, 63, 86, 51
• GCD of 55, 72, 41, 41

1. What is the GCD of 58, 66, 45, 14?

GCD of 58, 66, 45, 14 is 1

2. Where do I get the detailed procedure to find GCD of 58, 66, 45, 14?

You can find a detailed procedure to find GCD of 58, 66, 45, 14 on our page.

3. How to find GCD of 58, 66, 45, 14 on a calculator?

You can find the GCD of 58, 66, 45, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.