GCD of 550, 344, 26, 765 Calculator

Given Input numbers are 550, 344, 26, 765

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 550, 344, 26, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 344, 26, 765 is 1.

Therefore, GCD of numbers 550, 344, 26, 765 is 1

Given Input Data is 550, 344, 26, 765

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 26 is 2 x 13

Prime Factorization of 765 is 3 x 3 x 5 x 17

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, 344) = 94600

GCD(550, 344) = ( 550 x 344 ) / 94600

GCD(550, 344) = 189200 / 94600

GCD(550, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 550, 344, 26, 765 is 1

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1. What is the GCD of 550, 344, 26, 765?

GCD of 550, 344, 26, 765 is 1

2. Where do I get the detailed procedure to find GCD of 550, 344, 26, 765?

You can find a detailed procedure to find GCD of 550, 344, 26, 765 on our page.

3. How to find GCD of 550, 344, 26, 765 on a calculator?

You can find the GCD of 550, 344, 26, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.