GCD of 300, 836, 64, 550 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 300, 836, 64, 550 i.e. 2 largest integer that divides all the numbers equally.

GCD of 300, 836, 64, 550 is 2

GCD(300, 836, 64, 550) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 300, 836, 64, 550 is 2

GCD(300, 836, 64, 550) = 2

GCD of 300,836,64,550 Calculator

GCDof 300,836,64,550 is 2

Given Input numbers are 300, 836, 64, 550

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 300, 836, 64, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 836, 64, 550 is 2.

Therefore, GCD of numbers 300, 836, 64, 550 is 2

Finding GCD of 300, 836, 64, 550 using Prime Factorization

Given Input Data is 300, 836, 64, 550

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

Finding GCD of 300, 836, 64, 550 using LCM Formula

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(300, 836) = 62700

GCD(300, 836) = ( 300 x 836 ) / 62700

GCD(300, 836) = 250800 / 62700

GCD(300, 836) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 550

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

LCM(4, 550) = 1100

GCD(4, 550) = ( 4 x 550 ) / 1100

GCD(4, 550) = 2200 / 1100

GCD(4, 550) = 2

GCD of 300, 836, 64, 550 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 300, 836, 64, 550

1. What is the GCD of 300, 836, 64, 550?

GCD of 300, 836, 64, 550 is 2


2. Where do I get the detailed procedure to find GCD of 300, 836, 64, 550?

You can find a detailed procedure to find GCD of 300, 836, 64, 550 on our page.


3. How to find GCD of 300, 836, 64, 550 on a calculator?

You can find the GCD of 300, 836, 64, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.