GCD of 26, 374, 345, 842 Calculator

Given Input numbers are 26, 374, 345, 842

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 26, 374, 345, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 374, 345, 842 is 1.

Therefore, GCD of numbers 26, 374, 345, 842 is 1

Given Input Data is 26, 374, 345, 842

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 842 is 2 x 421

The above numbers do not have any common prime factor. So GCD is 1

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, 374) = 4862

GCD(26, 374) = ( 26 x 374 ) / 4862

GCD(26, 374) = 9724 / 4862

GCD(26, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 26, 374, 345, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 574, 353, 157
• GCD of 83, 373, 953, 280
• GCD of 52, 523, 739, 407
• GCD of 12, 343, 873, 213
• GCD of 89, 594, 554, 213

1. What is the GCD of 26, 374, 345, 842?

GCD of 26, 374, 345, 842 is 1

2. Where do I get the detailed procedure to find GCD of 26, 374, 345, 842?

You can find a detailed procedure to find GCD of 26, 374, 345, 842 on our page.

3. How to find GCD of 26, 374, 345, 842 on a calculator?

You can find the GCD of 26, 374, 345, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.