GCD of 610, 898, 80, 796 Calculator

Given Input numbers are 610, 898, 80, 796

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 610, 898, 80, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 898, 80, 796 is 2.

Therefore, GCD of numbers 610, 898, 80, 796 is 2

Given Input Data is 610, 898, 80, 796

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 796 is 2 x 2 x 199

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(610, 898) = 273890

GCD(610, 898) = ( 610 x 898 ) / 273890

GCD(610, 898) = 547780 / 273890

GCD(610, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 610, 898, 80, 796 is 2

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1. What is the GCD of 610, 898, 80, 796?

GCD of 610, 898, 80, 796 is 2

2. Where do I get the detailed procedure to find GCD of 610, 898, 80, 796?

You can find a detailed procedure to find GCD of 610, 898, 80, 796 on our page.

3. How to find GCD of 610, 898, 80, 796 on a calculator?

You can find the GCD of 610, 898, 80, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.