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 628, 234, 828, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 234, 828, 783 is 1
GCD(628, 234, 828, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 234, 828, 783 is 1
GCD(628, 234, 828, 783) = 1
Given Input numbers are 628, 234, 828, 783
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 628, 234, 828, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 234, 828, 783 is 1.
Therefore, GCD of numbers 628, 234, 828, 783 is 1
Given Input Data is 628, 234, 828, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 783 is 3 x 3 x 3 x 29
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(628, 234) = 73476
GCD(628, 234) = ( 628 x 234 ) / 73476
GCD(628, 234) = 146952 / 73476
GCD(628, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
GCD(2, 828) = 1656 / 828
GCD(2, 828) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 783) = 1566
GCD(2, 783) = ( 2 x 783 ) / 1566
GCD(2, 783) = 1566 / 1566
GCD(2, 783) = 1
GCD of 628, 234, 828, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 234, 828, 783?
GCD of 628, 234, 828, 783 is 1
2. Where do I get the detailed procedure to find GCD of 628, 234, 828, 783?
You can find a detailed procedure to find GCD of 628, 234, 828, 783 on our page.
3. How to find GCD of 628, 234, 828, 783 on a calculator?
You can find the GCD of 628, 234, 828, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.