GCD of 68, 76, 67, 21 Calculator

Given Input numbers are 68, 76, 67, 21

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

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 68, 76, 67, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 76, 67, 21 is 1.

Therefore, GCD of numbers 68, 76, 67, 21 is 1

Given Input Data is 68, 76, 67, 21

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 67 is 67

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(68, 76) = 1292

GCD(68, 76) = ( 68 x 76 ) / 1292

GCD(68, 76) = 5168 / 1292

GCD(68, 76) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 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 68, 76, 67, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 56, 59, 72
• GCD of 48, 18, 73, 22
• GCD of 44, 77, 72, 70
• GCD of 63, 76, 24, 23
• GCD of 94, 55, 65, 62

1. What is the GCD of 68, 76, 67, 21?

GCD of 68, 76, 67, 21 is 1

2. Where do I get the detailed procedure to find GCD of 68, 76, 67, 21?

You can find a detailed procedure to find GCD of 68, 76, 67, 21 on our page.

3. How to find GCD of 68, 76, 67, 21 on a calculator?

You can find the GCD of 68, 76, 67, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.