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 356, 286, 791, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 286, 791, 646 is 1
GCD(356, 286, 791, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 286, 791, 646 is 1
GCD(356, 286, 791, 646) = 1
Given Input numbers are 356, 286, 791, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
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 356, 286, 791, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 286, 791, 646 is 1.
Therefore, GCD of numbers 356, 286, 791, 646 is 1
Given Input Data is 356, 286, 791, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 791 is 7 x 113
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(356, 286) = 50908
GCD(356, 286) = ( 356 x 286 ) / 50908
GCD(356, 286) = 101816 / 50908
GCD(356, 286) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 791) = 1582
GCD(2, 791) = ( 2 x 791 ) / 1582
GCD(2, 791) = 1582 / 1582
GCD(2, 791) = 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 356, 286, 791, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 286, 791, 646?
GCD of 356, 286, 791, 646 is 1
2. Where do I get the detailed procedure to find GCD of 356, 286, 791, 646?
You can find a detailed procedure to find GCD of 356, 286, 791, 646 on our page.
3. How to find GCD of 356, 286, 791, 646 on a calculator?
You can find the GCD of 356, 286, 791, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.