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 838, 628, 612, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 628, 612, 685 is 1
GCD(838, 628, 612, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 628, 612, 685 is 1
GCD(838, 628, 612, 685) = 1
Given Input numbers are 838, 628, 612, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 838, 628, 612, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 628, 612, 685 is 1.
Therefore, GCD of numbers 838, 628, 612, 685 is 1
Given Input Data is 838, 628, 612, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 685 is 5 x 137
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(838, 628) = 263132
GCD(838, 628) = ( 838 x 628 ) / 263132
GCD(838, 628) = 526264 / 263132
GCD(838, 628) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
GCD(2, 612) = 1224 / 612
GCD(2, 612) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 685) = 1370
GCD(2, 685) = ( 2 x 685 ) / 1370
GCD(2, 685) = 1370 / 1370
GCD(2, 685) = 1
GCD of 838, 628, 612, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 628, 612, 685?
GCD of 838, 628, 612, 685 is 1
2. Where do I get the detailed procedure to find GCD of 838, 628, 612, 685?
You can find a detailed procedure to find GCD of 838, 628, 612, 685 on our page.
3. How to find GCD of 838, 628, 612, 685 on a calculator?
You can find the GCD of 838, 628, 612, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.