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 555, 288, 77, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 288, 77, 222 is 1
GCD(555, 288, 77, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 288, 77, 222 is 1
GCD(555, 288, 77, 222) = 1
Given Input numbers are 555, 288, 77, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 555, 288, 77, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 288, 77, 222 is 1.
Therefore, GCD of numbers 555, 288, 77, 222 is 1
Given Input Data is 555, 288, 77, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 77 is 7 x 11
Prime Factorization of 222 is 2 x 3 x 37
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(555, 288) = 53280
GCD(555, 288) = ( 555 x 288 ) / 53280
GCD(555, 288) = 159840 / 53280
GCD(555, 288) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 555, 288, 77, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 288, 77, 222?
GCD of 555, 288, 77, 222 is 1
2. Where do I get the detailed procedure to find GCD of 555, 288, 77, 222?
You can find a detailed procedure to find GCD of 555, 288, 77, 222 on our page.
3. How to find GCD of 555, 288, 77, 222 on a calculator?
You can find the GCD of 555, 288, 77, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.