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 658, 228, 79, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 228, 79, 178 is 1
GCD(658, 228, 79, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 228, 79, 178 is 1
GCD(658, 228, 79, 178) = 1
Given Input numbers are 658, 228, 79, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 658, 228, 79, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 228, 79, 178 is 1.
Therefore, GCD of numbers 658, 228, 79, 178 is 1
Given Input Data is 658, 228, 79, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 79 is 79
Prime Factorization of 178 is 2 x 89
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(658, 228) = 75012
GCD(658, 228) = ( 658 x 228 ) / 75012
GCD(658, 228) = 150024 / 75012
GCD(658, 228) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 658, 228, 79, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 228, 79, 178?
GCD of 658, 228, 79, 178 is 1
2. Where do I get the detailed procedure to find GCD of 658, 228, 79, 178?
You can find a detailed procedure to find GCD of 658, 228, 79, 178 on our page.
3. How to find GCD of 658, 228, 79, 178 on a calculator?
You can find the GCD of 658, 228, 79, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.