GCD of 448, 114, 50, 771 Calculator

Given Input numbers are 448, 114, 50, 771

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 448, 114, 50, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 114, 50, 771 is 1.

Therefore, GCD of numbers 448, 114, 50, 771 is 1

Given Input Data is 448, 114, 50, 771

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 771 is 3 x 257

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(448, 114) = 25536

GCD(448, 114) = ( 448 x 114 ) / 25536

GCD(448, 114) = 51072 / 25536

GCD(448, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 448, 114, 50, 771 is 1

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1. What is the GCD of 448, 114, 50, 771?

GCD of 448, 114, 50, 771 is 1

2. Where do I get the detailed procedure to find GCD of 448, 114, 50, 771?

You can find a detailed procedure to find GCD of 448, 114, 50, 771 on our page.

3. How to find GCD of 448, 114, 50, 771 on a calculator?

You can find the GCD of 448, 114, 50, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.