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 numbers 550, 226, 87, 674 is 1
GCD(550, 226, 87, 674) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.