GCD of 44, 59, 28, 10 Calculator

Given Input numbers are 44, 59, 28, 10

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 44, 59, 28, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 59, 28, 10 is 1.

Therefore, GCD of numbers 44, 59, 28, 10 is 1

Given Input Data is 44, 59, 28, 10

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 59 is 59

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 10 is 2 x 5

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(44, 59) = 2596

GCD(44, 59) = ( 44 x 59 ) / 2596

GCD(44, 59) = 2596 / 2596

GCD(44, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 44, 59, 28, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 74, 36, 48
• GCD of 29, 61, 61, 63
• GCD of 80, 26, 21, 22
• GCD of 51, 89, 37, 75
• GCD of 48, 71, 78, 97

1. What is the GCD of 44, 59, 28, 10?

GCD of 44, 59, 28, 10 is 1

2. Where do I get the detailed procedure to find GCD of 44, 59, 28, 10?

You can find a detailed procedure to find GCD of 44, 59, 28, 10 on our page.

3. How to find GCD of 44, 59, 28, 10 on a calculator?

You can find the GCD of 44, 59, 28, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.