GCD of 92, 45, 14, 13 Calculator

Given Input numbers are 92, 45, 14, 13

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Greatest Common Divisior

We found the divisors of 92, 45, 14, 13 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 45, 14, 13 is 1.

Therefore, GCD of numbers 92, 45, 14, 13 is 1

Given Input Data is 92, 45, 14, 13

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 13 is 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(92, 45) = 4140

GCD(92, 45) = ( 92 x 45 ) / 4140

GCD(92, 45) = 4140 / 4140

GCD(92, 45) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

GCD of 92, 45, 14, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 49, 56, 72
• GCD of 85, 55, 83, 32
• GCD of 88, 81, 60, 95
• GCD of 15, 45, 81, 68
• GCD of 52, 70, 20, 81

1. What is the GCD of 92, 45, 14, 13?

GCD of 92, 45, 14, 13 is 1

2. Where do I get the detailed procedure to find GCD of 92, 45, 14, 13?

You can find a detailed procedure to find GCD of 92, 45, 14, 13 on our page.

3. How to find GCD of 92, 45, 14, 13 on a calculator?

You can find the GCD of 92, 45, 14, 13 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.