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 849, 814, 23, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 814, 23, 357 is 1
GCD(849, 814, 23, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 814, 23, 357 is 1
GCD(849, 814, 23, 357) = 1
Given Input numbers are 849, 814, 23, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 849, 814, 23, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 814, 23, 357 is 1.
Therefore, GCD of numbers 849, 814, 23, 357 is 1
Given Input Data is 849, 814, 23, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 23 is 23
Prime Factorization of 357 is 3 x 7 x 17
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(849, 814) = 691086
GCD(849, 814) = ( 849 x 814 ) / 691086
GCD(849, 814) = 691086 / 691086
GCD(849, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 849, 814, 23, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 814, 23, 357?
GCD of 849, 814, 23, 357 is 1
2. Where do I get the detailed procedure to find GCD of 849, 814, 23, 357?
You can find a detailed procedure to find GCD of 849, 814, 23, 357 on our page.
3. How to find GCD of 849, 814, 23, 357 on a calculator?
You can find the GCD of 849, 814, 23, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.