GCD of 80, 116, 710, 905 Calculator

Given Input numbers are 80, 116, 710, 905

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

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 80, 116, 710, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 116, 710, 905 is 1.

Therefore, GCD of numbers 80, 116, 710, 905 is 1

Given Input Data is 80, 116, 710, 905

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

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 905 is 5 x 181

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(80, 116) = 2320

GCD(80, 116) = ( 80 x 116 ) / 2320

GCD(80, 116) = 9280 / 2320

GCD(80, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 710

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

LCM(4, 710) = 1420

GCD(4, 710) = ( 4 x 710 ) / 1420

GCD(4, 710) = 2840 / 1420

GCD(4, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 905

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

LCM(2, 905) = 1810

GCD(2, 905) = ( 2 x 905 ) / 1810

GCD(2, 905) = 1810 / 1810

GCD(2, 905) = 1

GCD of 80, 116, 710, 905 is 1

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• GCD of 76, 613, 818, 813
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1. What is the GCD of 80, 116, 710, 905?

GCD of 80, 116, 710, 905 is 1

2. Where do I get the detailed procedure to find GCD of 80, 116, 710, 905?

You can find a detailed procedure to find GCD of 80, 116, 710, 905 on our page.

3. How to find GCD of 80, 116, 710, 905 on a calculator?

You can find the GCD of 80, 116, 710, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.