GCD of 71, 60, 82, 76 Calculator

Given Input numbers are 71, 60, 82, 76

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

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 71, 60, 82, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 60, 82, 76 is 1.

Therefore, GCD of numbers 71, 60, 82, 76 is 1

Given Input Data is 71, 60, 82, 76

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

Prime Factorization of 71 is 71

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 82 is 2 x 41

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(71, 60) = 4260

GCD(71, 60) = ( 71 x 60 ) / 4260

GCD(71, 60) = 4260 / 4260

GCD(71, 60) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 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 71, 60, 82, 76 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 82, 63, 83
• GCD of 25, 99, 10, 77
• GCD of 41, 46, 61, 59
• GCD of 16, 22, 79, 80
• GCD of 49, 79, 67, 65

1. What is the GCD of 71, 60, 82, 76?

GCD of 71, 60, 82, 76 is 1

2. Where do I get the detailed procedure to find GCD of 71, 60, 82, 76?

You can find a detailed procedure to find GCD of 71, 60, 82, 76 on our page.

3. How to find GCD of 71, 60, 82, 76 on a calculator?

You can find the GCD of 71, 60, 82, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.