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 606, 831, 69, 378 i.e. 3 largest integer that divides all the numbers equally.
GCD of 606, 831, 69, 378 is 3
GCD(606, 831, 69, 378) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 606, 831, 69, 378 is 3
GCD(606, 831, 69, 378) = 3
Given Input numbers are 606, 831, 69, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 606, 831, 69, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 831, 69, 378 is 3.
Therefore, GCD of numbers 606, 831, 69, 378 is 3
Given Input Data is 606, 831, 69, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 831 is 3 x 277
Prime Factorization of 69 is 3 x 23
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(606, 831) = 167862
GCD(606, 831) = ( 606 x 831 ) / 167862
GCD(606, 831) = 503586 / 167862
GCD(606, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 378) = 378
GCD(3, 378) = ( 3 x 378 ) / 378
GCD(3, 378) = 1134 / 378
GCD(3, 378) = 3
GCD of 606, 831, 69, 378 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 606, 831, 69, 378?
GCD of 606, 831, 69, 378 is 3
2. Where do I get the detailed procedure to find GCD of 606, 831, 69, 378?
You can find a detailed procedure to find GCD of 606, 831, 69, 378 on our page.
3. How to find GCD of 606, 831, 69, 378 on a calculator?
You can find the GCD of 606, 831, 69, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.