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 55, 600, 229, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 600, 229, 711 is 1
GCD(55, 600, 229, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 600, 229, 711 is 1
GCD(55, 600, 229, 711) = 1
Given Input numbers are 55, 600, 229, 711
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 55, 600, 229, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 600, 229, 711 is 1.
Therefore, GCD of numbers 55, 600, 229, 711 is 1
Given Input Data is 55, 600, 229, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 229 is 229
Prime Factorization of 711 is 3 x 3 x 79
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(55, 600) = 6600
GCD(55, 600) = ( 55 x 600 ) / 6600
GCD(55, 600) = 33000 / 6600
GCD(55, 600) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 229
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 229) = 1145
GCD(5, 229) = ( 5 x 229 ) / 1145
GCD(5, 229) = 1145 / 1145
GCD(5, 229) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 55, 600, 229, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 600, 229, 711?
GCD of 55, 600, 229, 711 is 1
2. Where do I get the detailed procedure to find GCD of 55, 600, 229, 711?
You can find a detailed procedure to find GCD of 55, 600, 229, 711 on our page.
3. How to find GCD of 55, 600, 229, 711 on a calculator?
You can find the GCD of 55, 600, 229, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.