GCD of 76, 8, 80, 10 Calculator

Given Input numbers are 76, 8, 80, 10

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 76, 8, 80, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 8, 80, 10 is 2.

Therefore, GCD of numbers 76, 8, 80, 10 is 2

Given Input Data is 76, 8, 80, 10

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 8 is 2 x 2 x 2

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 10 is 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 8) = 152

GCD(76, 8) = ( 76 x 8 ) / 152

GCD(76, 8) = 608 / 152

GCD(76, 8) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

GCD of 76, 8, 80, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 1, 66, 23
• GCD of 23, 6, 80, 41
• GCD of 74, 7, 25, 45
• GCD of 97, 4, 40, 46
• GCD of 34, 2, 49, 15

1. What is the GCD of 76, 8, 80, 10?

GCD of 76, 8, 80, 10 is 2

2. Where do I get the detailed procedure to find GCD of 76, 8, 80, 10?

You can find a detailed procedure to find GCD of 76, 8, 80, 10 on our page.

3. How to find GCD of 76, 8, 80, 10 on a calculator?

You can find the GCD of 76, 8, 80, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.