GCD of 26, 80, 53, 49 Calculator

Given Input numbers are 26, 80, 53, 49

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 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 53

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

1, 53

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 26, 80, 53, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 80, 53, 49 is 1.

Therefore, GCD of numbers 26, 80, 53, 49 is 1

Given Input Data is 26, 80, 53, 49

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 53 is 53

Prime Factorization of 49 is 7 x 7

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, 80) = 1040

GCD(26, 80) = ( 26 x 80 ) / 1040

GCD(26, 80) = 2080 / 1040

GCD(26, 80) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 26, 80, 53, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 45, 80, 48
• GCD of 27, 94, 99, 95
• GCD of 95, 32, 50, 87
• GCD of 63, 77, 61, 74
• GCD of 73, 59, 77, 58

1. What is the GCD of 26, 80, 53, 49?

GCD of 26, 80, 53, 49 is 1

2. Where do I get the detailed procedure to find GCD of 26, 80, 53, 49?

You can find a detailed procedure to find GCD of 26, 80, 53, 49 on our page.

3. How to find GCD of 26, 80, 53, 49 on a calculator?

You can find the GCD of 26, 80, 53, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.