GCD of 29, 66, 77, 21 Calculator

Given Input numbers are 29, 66, 77, 21

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 29, 66, 77, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 66, 77, 21 is 1.

Therefore, GCD of numbers 29, 66, 77, 21 is 1

Given Input Data is 29, 66, 77, 21

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

Prime Factorization of 29 is 29

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 77 is 7 x 11

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(29, 66) = 1914

GCD(29, 66) = ( 29 x 66 ) / 1914

GCD(29, 66) = 1914 / 1914

GCD(29, 66) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 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 29, 66, 77, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 22, 97, 72
• GCD of 15, 21, 89, 80
• GCD of 29, 34, 66, 86
• GCD of 22, 92, 25, 47
• GCD of 28, 24, 92, 98

1. What is the GCD of 29, 66, 77, 21?

GCD of 29, 66, 77, 21 is 1

2. Where do I get the detailed procedure to find GCD of 29, 66, 77, 21?

You can find a detailed procedure to find GCD of 29, 66, 77, 21 on our page.

3. How to find GCD of 29, 66, 77, 21 on a calculator?

You can find the GCD of 29, 66, 77, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.