GCD of 550, 105, 79, 736 Calculator

Given Input numbers are 550, 105, 79, 736

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 550, 105, 79, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 105, 79, 736 is 1.

Therefore, GCD of numbers 550, 105, 79, 736 is 1

Given Input Data is 550, 105, 79, 736

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 105 is 3 x 5 x 7

Prime Factorization of 79 is 79

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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, 105) = 11550

GCD(550, 105) = ( 550 x 105 ) / 11550

GCD(550, 105) = 57750 / 11550

GCD(550, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 79

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

LCM(5, 79) = 395

GCD(5, 79) = ( 5 x 79 ) / 395

GCD(5, 79) = 395 / 395

GCD(5, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 550, 105, 79, 736 is 1

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1. What is the GCD of 550, 105, 79, 736?

GCD of 550, 105, 79, 736 is 1

2. Where do I get the detailed procedure to find GCD of 550, 105, 79, 736?

You can find a detailed procedure to find GCD of 550, 105, 79, 736 on our page.

3. How to find GCD of 550, 105, 79, 736 on a calculator?

You can find the GCD of 550, 105, 79, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.