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, 944, 357, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 944, 357, 646 is 1
GCD(838, 944, 357, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 944, 357, 646 is 1
GCD(838, 944, 357, 646) = 1
Given Input numbers are 838, 944, 357, 646
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 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 838, 944, 357, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 944, 357, 646 is 1.
Therefore, GCD of numbers 838, 944, 357, 646 is 1
Given Input Data is 838, 944, 357, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 646 is 2 x 17 x 19
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, 944) = 395536
GCD(838, 944) = ( 838 x 944 ) / 395536
GCD(838, 944) = 791072 / 395536
GCD(838, 944) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 357) = 714
GCD(2, 357) = ( 2 x 357 ) / 714
GCD(2, 357) = 714 / 714
GCD(2, 357) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 838, 944, 357, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 944, 357, 646?
GCD of 838, 944, 357, 646 is 1
2. Where do I get the detailed procedure to find GCD of 838, 944, 357, 646?
You can find a detailed procedure to find GCD of 838, 944, 357, 646 on our page.
3. How to find GCD of 838, 944, 357, 646 on a calculator?
You can find the GCD of 838, 944, 357, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.