GCD of 110, 758, 74, 796 Calculator

Given Input numbers are 110, 758, 74, 796

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 110, 758, 74, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 758, 74, 796 is 2.

Therefore, GCD of numbers 110, 758, 74, 796 is 2

Given Input Data is 110, 758, 74, 796

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 758 is 2 x 379

Prime Factorization of 74 is 2 x 37

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(110, 758) = 41690

GCD(110, 758) = ( 110 x 758 ) / 41690

GCD(110, 758) = 83380 / 41690

GCD(110, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 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 110, 758, 74, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 578, 94, 694
• GCD of 688, 855, 30, 539
• GCD of 199, 117, 43, 668
• GCD of 973, 976, 73, 723
• GCD of 778, 786, 43, 738

1. What is the GCD of 110, 758, 74, 796?

GCD of 110, 758, 74, 796 is 2

2. Where do I get the detailed procedure to find GCD of 110, 758, 74, 796?

You can find a detailed procedure to find GCD of 110, 758, 74, 796 on our page.

3. How to find GCD of 110, 758, 74, 796 on a calculator?

You can find the GCD of 110, 758, 74, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.