GCD of 77, 49, 28, 33 Calculator

Given Input numbers are 77, 49, 28, 33

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 49

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

1, 7, 49

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 77, 49, 28, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 49, 28, 33 is 1.

Therefore, GCD of numbers 77, 49, 28, 33 is 1

Given Input Data is 77, 49, 28, 33

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 33 is 3 x 11

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(77, 49) = 539

GCD(77, 49) = ( 77 x 49 ) / 539

GCD(77, 49) = 3773 / 539

GCD(77, 49) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 28

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

LCM(7, 28) = 28

GCD(7, 28) = ( 7 x 28 ) / 28

GCD(7, 28) = 196 / 28

GCD(7, 28) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 33

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

LCM(7, 33) = 231

GCD(7, 33) = ( 7 x 33 ) / 231

GCD(7, 33) = 231 / 231

GCD(7, 33) = 1

GCD of 77, 49, 28, 33 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 95, 94, 79
• GCD of 70, 34, 39, 54
• GCD of 37, 34, 61, 52
• GCD of 12, 66, 94, 75
• GCD of 89, 59, 54, 20

1. What is the GCD of 77, 49, 28, 33?

GCD of 77, 49, 28, 33 is 1

2. Where do I get the detailed procedure to find GCD of 77, 49, 28, 33?

You can find a detailed procedure to find GCD of 77, 49, 28, 33 on our page.

3. How to find GCD of 77, 49, 28, 33 on a calculator?

You can find the GCD of 77, 49, 28, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.