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 84, 228, 119, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 228, 119, 656 is 1
GCD(84, 228, 119, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 228, 119, 656 is 1
GCD(84, 228, 119, 656) = 1
Given Input numbers are 84, 228, 119, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 84, 228, 119, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 228, 119, 656 is 1.
Therefore, GCD of numbers 84, 228, 119, 656 is 1
Given Input Data is 84, 228, 119, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 119 is 7 x 17
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(84, 228) = 1596
GCD(84, 228) = ( 84 x 228 ) / 1596
GCD(84, 228) = 19152 / 1596
GCD(84, 228) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 119) = 1428
GCD(12, 119) = ( 12 x 119 ) / 1428
GCD(12, 119) = 1428 / 1428
GCD(12, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 84, 228, 119, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 228, 119, 656?
GCD of 84, 228, 119, 656 is 1
2. Where do I get the detailed procedure to find GCD of 84, 228, 119, 656?
You can find a detailed procedure to find GCD of 84, 228, 119, 656 on our page.
3. How to find GCD of 84, 228, 119, 656 on a calculator?
You can find the GCD of 84, 228, 119, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.