GCD of 3, 48, 77 Calculator

Given Input numbers are 3, 48, 77

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

Divisors of 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 3, 48, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 3, 48, 77 is 1.

Therefore, GCD of numbers 3, 48, 77 is 1

Given Input Data is 3, 48, 77

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

Prime Factorization of 3 is 3

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 77 is 7 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(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

GCD of 3, 48, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 7, 55, 74
• GCD of 7, 73, 41
• GCD of 8, 48, 93
• GCD of 6, 46, 53
• GCD of 6, 54, 80

1. What is the GCD of 3, 48, 77?

GCD of 3, 48, 77 is 1

2. Where do I get the detailed procedure to find GCD of 3, 48, 77?

You can find a detailed procedure to find GCD of 3, 48, 77 on our page.

3. How to find GCD of 3, 48, 77 on a calculator?

You can find the GCD of 3, 48, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.