GCD of 850, 448, 778, 550 Calculator

Given Input numbers are 850, 448, 778, 550

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 850, 448, 778, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 448, 778, 550 is 2.

Therefore, GCD of numbers 850, 448, 778, 550 is 2

Given Input Data is 850, 448, 778, 550

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 550 is 2 x 5 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(850, 448) = 190400

GCD(850, 448) = ( 850 x 448 ) / 190400

GCD(850, 448) = 380800 / 190400

GCD(850, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

GCD of 850, 448, 778, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 277, 942, 702
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• GCD of 481, 342, 689, 331

1. What is the GCD of 850, 448, 778, 550?

GCD of 850, 448, 778, 550 is 2

2. Where do I get the detailed procedure to find GCD of 850, 448, 778, 550?

You can find a detailed procedure to find GCD of 850, 448, 778, 550 on our page.

3. How to find GCD of 850, 448, 778, 550 on a calculator?

You can find the GCD of 850, 448, 778, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.