GCD of 26, 75, 61, 56 Calculator

Given Input numbers are 26, 75, 61, 56

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 26, 75, 61, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 75, 61, 56 is 1.

Therefore, GCD of numbers 26, 75, 61, 56 is 1

Given Input Data is 26, 75, 61, 56

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 61 is 61

Prime Factorization of 56 is 2 x 2 x 2 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, 75) = 1950

GCD(26, 75) = ( 26 x 75 ) / 1950

GCD(26, 75) = 1950 / 1950

GCD(26, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 26, 75, 61, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 63, 60, 91
• GCD of 77, 55, 41, 22
• GCD of 67, 17, 92, 56
• GCD of 53, 63, 21, 94
• GCD of 64, 42, 21, 43

1. What is the GCD of 26, 75, 61, 56?

GCD of 26, 75, 61, 56 is 1

2. Where do I get the detailed procedure to find GCD of 26, 75, 61, 56?

You can find a detailed procedure to find GCD of 26, 75, 61, 56 on our page.

3. How to find GCD of 26, 75, 61, 56 on a calculator?

You can find the GCD of 26, 75, 61, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.