GCD of 550, 226, 87, 674 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 550, 226, 87, 674 i.e. 1 largest integer that divides all the numbers equally.

GCD of 550, 226, 87, 674 is 1

GCD(550, 226, 87, 674) = 1

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

GCD of

GCD of numbers 550, 226, 87, 674 is 1

GCD(550, 226, 87, 674) = 1

GCD of 550,226,87,674 Calculator

GCDof 550,226,87,674 is 1

Given Input numbers are 550, 226, 87, 674

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 550, 226, 87, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 226, 87, 674 is 1.

Therefore, GCD of numbers 550, 226, 87, 674 is 1

Finding GCD of 550, 226, 87, 674 using Prime Factorization

Given Input Data is 550, 226, 87, 674

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 226 is 2 x 113

Prime Factorization of 87 is 3 x 29

Prime Factorization of 674 is 2 x 337

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 550, 226, 87, 674 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(550, 226) = 62150

GCD(550, 226) = ( 550 x 226 ) / 62150

GCD(550, 226) = 124300 / 62150

GCD(550, 226) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 550, 226, 87, 674 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 550, 226, 87, 674

1. What is the GCD of 550, 226, 87, 674?

GCD of 550, 226, 87, 674 is 1


2. Where do I get the detailed procedure to find GCD of 550, 226, 87, 674?

You can find a detailed procedure to find GCD of 550, 226, 87, 674 on our page.


3. How to find GCD of 550, 226, 87, 674 on a calculator?

You can find the GCD of 550, 226, 87, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.