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, 440, 92, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 440, 92, 713 is 1
GCD(550, 440, 92, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 440, 92, 713 is 1
GCD(550, 440, 92, 713) = 1
Given Input numbers are 550, 440, 92, 713
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 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 550, 440, 92, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 440, 92, 713 is 1.
Therefore, GCD of numbers 550, 440, 92, 713 is 1
Given Input Data is 550, 440, 92, 713
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 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 713 is 23 x 31
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, 440) = 2200
GCD(550, 440) = ( 550 x 440 ) / 2200
GCD(550, 440) = 242000 / 2200
GCD(550, 440) = 110
Step2:
Here we consider the GCD from the above i.e. 110 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(110, 92) = 5060
GCD(110, 92) = ( 110 x 92 ) / 5060
GCD(110, 92) = 10120 / 5060
GCD(110, 92) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
GCD of 550, 440, 92, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 440, 92, 713?
GCD of 550, 440, 92, 713 is 1
2. Where do I get the detailed procedure to find GCD of 550, 440, 92, 713?
You can find a detailed procedure to find GCD of 550, 440, 92, 713 on our page.
3. How to find GCD of 550, 440, 92, 713 on a calculator?
You can find the GCD of 550, 440, 92, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.