GCD of 80, 918, 226, 524 Calculator

Given Input numbers are 80, 918, 226, 524

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 80, 918, 226, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 918, 226, 524 is 2.

Therefore, GCD of numbers 80, 918, 226, 524 is 2

Given Input Data is 80, 918, 226, 524

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 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 226 is 2 x 113

Prime Factorization of 524 is 2 x 2 x 131

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(80, 918) = 36720

GCD(80, 918) = ( 80 x 918 ) / 36720

GCD(80, 918) = 73440 / 36720

GCD(80, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 80, 918, 226, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 949, 677, 791
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• GCD of 81, 886, 766, 452
• GCD of 50, 760, 947, 305

1. What is the GCD of 80, 918, 226, 524?

GCD of 80, 918, 226, 524 is 2

2. Where do I get the detailed procedure to find GCD of 80, 918, 226, 524?

You can find a detailed procedure to find GCD of 80, 918, 226, 524 on our page.

3. How to find GCD of 80, 918, 226, 524 on a calculator?

You can find the GCD of 80, 918, 226, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.