GCD of 28, 49, 77 Calculator

Given Input numbers are 28, 49, 77

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

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 49

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

1, 7, 49

Divisors of 77

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

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 28, 49, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 49, 77 is 7.

Therefore, GCD of numbers 28, 49, 77 is 7

Given Input Data is 28, 49, 77

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 77 is 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(28, 49) = 196

GCD(28, 49) = ( 28 x 49 ) / 196

GCD(28, 49) = 1372 / 196

GCD(28, 49) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 77

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

LCM(7, 77) = 77

GCD(7, 77) = ( 7 x 77 ) / 77

GCD(7, 77) = 539 / 77

GCD(7, 77) = 7

GCD of 28, 49, 77 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 46, 20
• GCD of 76, 20, 10
• GCD of 19, 73, 12
• GCD of 70, 52, 79
• GCD of 15, 76, 93

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

GCD of 28, 49, 77 is 7

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

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

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

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