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 342, 975, 30, 828 i.e. 3 largest integer that divides all the numbers equally.
GCD of 342, 975, 30, 828 is 3
GCD(342, 975, 30, 828) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 975, 30, 828 is 3
GCD(342, 975, 30, 828) = 3
Given Input numbers are 342, 975, 30, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 342, 975, 30, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 975, 30, 828 is 3.
Therefore, GCD of numbers 342, 975, 30, 828 is 3
Given Input Data is 342, 975, 30, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
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(342, 975) = 111150
GCD(342, 975) = ( 342 x 975 ) / 111150
GCD(342, 975) = 333450 / 111150
GCD(342, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 30) = 30
GCD(3, 30) = ( 3 x 30 ) / 30
GCD(3, 30) = 90 / 30
GCD(3, 30) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 828) = 828
GCD(3, 828) = ( 3 x 828 ) / 828
GCD(3, 828) = 2484 / 828
GCD(3, 828) = 3
GCD of 342, 975, 30, 828 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 975, 30, 828?
GCD of 342, 975, 30, 828 is 3
2. Where do I get the detailed procedure to find GCD of 342, 975, 30, 828?
You can find a detailed procedure to find GCD of 342, 975, 30, 828 on our page.
3. How to find GCD of 342, 975, 30, 828 on a calculator?
You can find the GCD of 342, 975, 30, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.