GCD of 26, 58, 10, 53 Calculator

Given Input numbers are 26, 58, 10, 53

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 26, 58, 10, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 58, 10, 53 is 1.

Therefore, GCD of numbers 26, 58, 10, 53 is 1

Given Input Data is 26, 58, 10, 53

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 10 is 2 x 5

Prime Factorization of 53 is 53

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, 58) = 754

GCD(26, 58) = ( 26 x 58 ) / 754

GCD(26, 58) = 1508 / 754

GCD(26, 58) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

GCD of 26, 58, 10, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 73, 26, 77
• GCD of 65, 74, 28, 18
• GCD of 60, 98, 53, 31
• GCD of 82, 72, 16, 19
• GCD of 63, 34, 86, 19

1. What is the GCD of 26, 58, 10, 53?

GCD of 26, 58, 10, 53 is 1

2. Where do I get the detailed procedure to find GCD of 26, 58, 10, 53?

You can find a detailed procedure to find GCD of 26, 58, 10, 53 on our page.

3. How to find GCD of 26, 58, 10, 53 on a calculator?

You can find the GCD of 26, 58, 10, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.