GCD of 75, 12, 29, 77 Calculator

Given Input numbers are 75, 12, 29, 77

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 29

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

1, 29

Divisors of 77

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

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 75, 12, 29, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 12, 29, 77 is 1.

Therefore, GCD of numbers 75, 12, 29, 77 is 1

Given Input Data is 75, 12, 29, 77

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 29 is 29

Prime Factorization of 77 is 7 x 11

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(75, 12) = 300

GCD(75, 12) = ( 75 x 12 ) / 300

GCD(75, 12) = 900 / 300

GCD(75, 12) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

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

GCD of 75, 12, 29, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 44, 94, 88
• GCD of 25, 94, 85, 40
• GCD of 22, 31, 84, 43
• GCD of 86, 10, 26, 51
• GCD of 59, 95, 93, 11

1. What is the GCD of 75, 12, 29, 77?

GCD of 75, 12, 29, 77 is 1

2. Where do I get the detailed procedure to find GCD of 75, 12, 29, 77?

You can find a detailed procedure to find GCD of 75, 12, 29, 77 on our page.

3. How to find GCD of 75, 12, 29, 77 on a calculator?

You can find the GCD of 75, 12, 29, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.