GCD of 26, 726, 830, 188 Calculator

Given Input numbers are 26, 726, 830, 188

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 26, 726, 830, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 726, 830, 188 is 2.

Therefore, GCD of numbers 26, 726, 830, 188 is 2

Given Input Data is 26, 726, 830, 188

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 188 is 2 x 2 x 47

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(26, 726) = 9438

GCD(26, 726) = ( 26 x 726 ) / 9438

GCD(26, 726) = 18876 / 9438

GCD(26, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 26, 726, 830, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 854, 307, 281
• GCD of 51, 322, 450, 841
• GCD of 45, 942, 983, 516
• GCD of 10, 551, 478, 734
• GCD of 99, 514, 928, 413

1. What is the GCD of 26, 726, 830, 188?

GCD of 26, 726, 830, 188 is 2

2. Where do I get the detailed procedure to find GCD of 26, 726, 830, 188?

You can find a detailed procedure to find GCD of 26, 726, 830, 188 on our page.

3. How to find GCD of 26, 726, 830, 188 on a calculator?

You can find the GCD of 26, 726, 830, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.