GCD of 45, 86, 21 Calculator

Given Input numbers are 45, 86, 21

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 45, 86, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 86, 21 is 1.

Therefore, GCD of numbers 45, 86, 21 is 1

Given Input Data is 45, 86, 21

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 21 is 3 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(45, 86) = 3870

GCD(45, 86) = ( 45 x 86 ) / 3870

GCD(45, 86) = 3870 / 3870

GCD(45, 86) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 45, 86, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 34, 90
• GCD of 86, 78, 67
• GCD of 15, 48, 51
• GCD of 83, 45, 60
• GCD of 71, 14, 94

1. What is the GCD of 45, 86, 21?

GCD of 45, 86, 21 is 1

2. Where do I get the detailed procedure to find GCD of 45, 86, 21?

You can find a detailed procedure to find GCD of 45, 86, 21 on our page.

3. How to find GCD of 45, 86, 21 on a calculator?

You can find the GCD of 45, 86, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.