GCD of 76, 53, 81, 40 Calculator

Given Input numbers are 76, 53, 81, 40

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

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 76, 53, 81, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 53, 81, 40 is 1.

Therefore, GCD of numbers 76, 53, 81, 40 is 1

Given Input Data is 76, 53, 81, 40

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 53 is 53

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(76, 53) = 4028

GCD(76, 53) = ( 76 x 53 ) / 4028

GCD(76, 53) = 4028 / 4028

GCD(76, 53) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

GCD of 76, 53, 81, 40 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 18, 38, 41
• GCD of 10, 34, 72, 50
• GCD of 72, 79, 32, 27
• GCD of 97, 76, 80, 50
• GCD of 99, 72, 75, 78

1. What is the GCD of 76, 53, 81, 40?

GCD of 76, 53, 81, 40 is 1

2. Where do I get the detailed procedure to find GCD of 76, 53, 81, 40?

You can find a detailed procedure to find GCD of 76, 53, 81, 40 on our page.

3. How to find GCD of 76, 53, 81, 40 on a calculator?

You can find the GCD of 76, 53, 81, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.