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 954, 772, 188, 808 i.e. 2 largest integer that divides all the numbers equally.
GCD of 954, 772, 188, 808 is 2
GCD(954, 772, 188, 808) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 954, 772, 188, 808 is 2
GCD(954, 772, 188, 808) = 2
Given Input numbers are 954, 772, 188, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 954, 772, 188, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 772, 188, 808 is 2.
Therefore, GCD of numbers 954, 772, 188, 808 is 2
Given Input Data is 954, 772, 188, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 808 is 2 x 2 x 2 x 101
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(954, 772) = 368244
GCD(954, 772) = ( 954 x 772 ) / 368244
GCD(954, 772) = 736488 / 368244
GCD(954, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
GCD(2, 188) = 376 / 188
GCD(2, 188) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
GCD(2, 808) = 1616 / 808
GCD(2, 808) = 2
GCD of 954, 772, 188, 808 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 954, 772, 188, 808?
GCD of 954, 772, 188, 808 is 2
2. Where do I get the detailed procedure to find GCD of 954, 772, 188, 808?
You can find a detailed procedure to find GCD of 954, 772, 188, 808 on our page.
3. How to find GCD of 954, 772, 188, 808 on a calculator?
You can find the GCD of 954, 772, 188, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.