GCD of 110, 538, 80, 832 Calculator

Given Input numbers are 110, 538, 80, 832

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 110, 538, 80, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 538, 80, 832 is 2.

Therefore, GCD of numbers 110, 538, 80, 832 is 2

Given Input Data is 110, 538, 80, 832

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 538 is 2 x 269

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(110, 538) = 29590

GCD(110, 538) = ( 110 x 538 ) / 29590

GCD(110, 538) = 59180 / 29590

GCD(110, 538) = 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 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 110, 538, 80, 832 is 2

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1. What is the GCD of 110, 538, 80, 832?

GCD of 110, 538, 80, 832 is 2

2. Where do I get the detailed procedure to find GCD of 110, 538, 80, 832?

You can find a detailed procedure to find GCD of 110, 538, 80, 832 on our page.

3. How to find GCD of 110, 538, 80, 832 on a calculator?

You can find the GCD of 110, 538, 80, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.