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 228, 277, 155, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 277, 155, 160 is 1
GCD(228, 277, 155, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 277, 155, 160 is 1
GCD(228, 277, 155, 160) = 1
Given Input numbers are 228, 277, 155, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 228, 277, 155, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 277, 155, 160 is 1.
Therefore, GCD of numbers 228, 277, 155, 160 is 1
Given Input Data is 228, 277, 155, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 277 is 277
Prime Factorization of 155 is 5 x 31
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(228, 277) = 63156
GCD(228, 277) = ( 228 x 277 ) / 63156
GCD(228, 277) = 63156 / 63156
GCD(228, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 228, 277, 155, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 277, 155, 160?
GCD of 228, 277, 155, 160 is 1
2. Where do I get the detailed procedure to find GCD of 228, 277, 155, 160?
You can find a detailed procedure to find GCD of 228, 277, 155, 160 on our page.
3. How to find GCD of 228, 277, 155, 160 on a calculator?
You can find the GCD of 228, 277, 155, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.