GCD of 49, 72, 68, 28 Calculator

Given Input numbers are 49, 72, 68, 28

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

Divisors of 49

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

1, 7, 49

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 28

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

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 49, 72, 68, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 72, 68, 28 is 1.

Therefore, GCD of numbers 49, 72, 68, 28 is 1

Given Input Data is 49, 72, 68, 28

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 28 is 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(49, 72) = 3528

GCD(49, 72) = ( 49 x 72 ) / 3528

GCD(49, 72) = 3528 / 3528

GCD(49, 72) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

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

GCD of 49, 72, 68, 28 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 17, 69, 44
• GCD of 92, 35, 21, 54
• GCD of 86, 19, 40, 79
• GCD of 22, 58, 28, 97
• GCD of 93, 20, 49, 30

1. What is the GCD of 49, 72, 68, 28?

GCD of 49, 72, 68, 28 is 1

2. Where do I get the detailed procedure to find GCD of 49, 72, 68, 28?

You can find a detailed procedure to find GCD of 49, 72, 68, 28 on our page.

3. How to find GCD of 49, 72, 68, 28 on a calculator?

You can find the GCD of 49, 72, 68, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.