GCD of 550, 752, 322, 644 Calculator

Given Input numbers are 550, 752, 322, 644

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

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 550, 752, 322, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 752, 322, 644 is 2.

Therefore, GCD of numbers 550, 752, 322, 644 is 2

Given Input Data is 550, 752, 322, 644

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

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(550, 752) = 206800

GCD(550, 752) = ( 550 x 752 ) / 206800

GCD(550, 752) = 413600 / 206800

GCD(550, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 550, 752, 322, 644 is 2

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1. What is the GCD of 550, 752, 322, 644?

GCD of 550, 752, 322, 644 is 2

2. Where do I get the detailed procedure to find GCD of 550, 752, 322, 644?

You can find a detailed procedure to find GCD of 550, 752, 322, 644 on our page.

3. How to find GCD of 550, 752, 322, 644 on a calculator?

You can find the GCD of 550, 752, 322, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.