GCD of 21, 91, 68, 54 Calculator

Given Input numbers are 21, 91, 68, 54

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 21, 91, 68, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 91, 68, 54 is 1.

Therefore, GCD of numbers 21, 91, 68, 54 is 1

Given Input Data is 21, 91, 68, 54

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 91 is 7 x 13

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(21, 91) = 273

GCD(21, 91) = ( 21 x 91 ) / 273

GCD(21, 91) = 1911 / 273

GCD(21, 91) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 68

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

LCM(7, 68) = 476

GCD(7, 68) = ( 7 x 68 ) / 476

GCD(7, 68) = 476 / 476

GCD(7, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 21, 91, 68, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 55, 93, 44
• GCD of 22, 77, 75, 27
• GCD of 21, 77, 17, 35
• GCD of 88, 16, 34, 91
• GCD of 47, 25, 75, 33

1. What is the GCD of 21, 91, 68, 54?

GCD of 21, 91, 68, 54 is 1

2. Where do I get the detailed procedure to find GCD of 21, 91, 68, 54?

You can find a detailed procedure to find GCD of 21, 91, 68, 54 on our page.

3. How to find GCD of 21, 91, 68, 54 on a calculator?

You can find the GCD of 21, 91, 68, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.