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, 964, 77, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 228, 964, 77, 197 is 1
GCD(228, 964, 77, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 964, 77, 197 is 1
GCD(228, 964, 77, 197) = 1
Given Input numbers are 228, 964, 77, 197
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 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 228, 964, 77, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 964, 77, 197 is 1.
Therefore, GCD of numbers 228, 964, 77, 197 is 1
Given Input Data is 228, 964, 77, 197
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 964 is 2 x 2 x 241
Prime Factorization of 77 is 7 x 11
Prime Factorization of 197 is 197
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, 964) = 54948
GCD(228, 964) = ( 228 x 964 ) / 54948
GCD(228, 964) = 219792 / 54948
GCD(228, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 77) = 308
GCD(4, 77) = ( 4 x 77 ) / 308
GCD(4, 77) = 308 / 308
GCD(4, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 228, 964, 77, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 228, 964, 77, 197?
GCD of 228, 964, 77, 197 is 1
2. Where do I get the detailed procedure to find GCD of 228, 964, 77, 197?
You can find a detailed procedure to find GCD of 228, 964, 77, 197 on our page.
3. How to find GCD of 228, 964, 77, 197 on a calculator?
You can find the GCD of 228, 964, 77, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.