GCD of 93, 21, 76, 21 Calculator

Given Input numbers are 93, 21, 76, 21

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

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 21

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

1, 3, 7, 21

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 93, 21, 76, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 21, 76, 21 is 1.

Therefore, GCD of numbers 93, 21, 76, 21 is 1

Given Input Data is 93, 21, 76, 21

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

Prime Factorization of 93 is 3 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 76 is 2 x 2 x 19

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(93, 21) = 651

GCD(93, 21) = ( 93 x 21 ) / 651

GCD(93, 21) = 1953 / 651

GCD(93, 21) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

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 93, 21, 76, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 74, 28, 96
• GCD of 80, 95, 79, 96
• GCD of 65, 28, 28, 41
• GCD of 91, 59, 70, 42
• GCD of 36, 90, 72, 77

1. What is the GCD of 93, 21, 76, 21?

GCD of 93, 21, 76, 21 is 1

2. Where do I get the detailed procedure to find GCD of 93, 21, 76, 21?

You can find a detailed procedure to find GCD of 93, 21, 76, 21 on our page.

3. How to find GCD of 93, 21, 76, 21 on a calculator?

You can find the GCD of 93, 21, 76, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.