GCD of 550, 649, 59, 796 Calculator

Given Input numbers are 550, 649, 59, 796

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 550, 649, 59, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 649, 59, 796 is 1.

Therefore, GCD of numbers 550, 649, 59, 796 is 1

Given Input Data is 550, 649, 59, 796

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 649 is 11 x 59

Prime Factorization of 59 is 59

Prime Factorization of 796 is 2 x 2 x 199

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(550, 649) = 32450

GCD(550, 649) = ( 550 x 649 ) / 32450

GCD(550, 649) = 356950 / 32450

GCD(550, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 59

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

LCM(11, 59) = 649

GCD(11, 59) = ( 11 x 59 ) / 649

GCD(11, 59) = 649 / 649

GCD(11, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

GCD of 550, 649, 59, 796 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 633, 44, 398
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• GCD of 101, 562, 96, 976

1. What is the GCD of 550, 649, 59, 796?

GCD of 550, 649, 59, 796 is 1

2. Where do I get the detailed procedure to find GCD of 550, 649, 59, 796?

You can find a detailed procedure to find GCD of 550, 649, 59, 796 on our page.

3. How to find GCD of 550, 649, 59, 796 on a calculator?

You can find the GCD of 550, 649, 59, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.