GCD of 14, 77, 29, 76 Calculator

Given Input numbers are 14, 77, 29, 76

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 77

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

1, 7, 11, 77

Divisors of 29

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

1, 29

Divisors of 76

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

1, 2, 4, 19, 38, 76

Greatest Common Divisior

We found the divisors of 14, 77, 29, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 77, 29, 76 is 1.

Therefore, GCD of numbers 14, 77, 29, 76 is 1

Given Input Data is 14, 77, 29, 76

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 29 is 29

Prime Factorization of 76 is 2 x 2 x 19

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(14, 77) = 154

GCD(14, 77) = ( 14 x 77 ) / 154

GCD(14, 77) = 1078 / 154

GCD(14, 77) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 29

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

LCM(7, 29) = 203

GCD(7, 29) = ( 7 x 29 ) / 203

GCD(7, 29) = 203 / 203

GCD(7, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

GCD of 14, 77, 29, 76 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 24, 69, 37
• GCD of 22, 55, 42, 56
• GCD of 12, 29, 54, 24
• GCD of 29, 17, 96, 11
• GCD of 97, 42, 74, 97

1. What is the GCD of 14, 77, 29, 76?

GCD of 14, 77, 29, 76 is 1

2. Where do I get the detailed procedure to find GCD of 14, 77, 29, 76?

You can find a detailed procedure to find GCD of 14, 77, 29, 76 on our page.

3. How to find GCD of 14, 77, 29, 76 on a calculator?

You can find the GCD of 14, 77, 29, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.