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 686, 464, 234, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 464, 234, 847 is 1
GCD(686, 464, 234, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 464, 234, 847 is 1
GCD(686, 464, 234, 847) = 1
Given Input numbers are 686, 464, 234, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 686, 464, 234, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 464, 234, 847 is 1.
Therefore, GCD of numbers 686, 464, 234, 847 is 1
Given Input Data is 686, 464, 234, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 847 is 7 x 11 x 11
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(686, 464) = 159152
GCD(686, 464) = ( 686 x 464 ) / 159152
GCD(686, 464) = 318304 / 159152
GCD(686, 464) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
GCD(2, 234) = 468 / 234
GCD(2, 234) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 847) = 1694
GCD(2, 847) = ( 2 x 847 ) / 1694
GCD(2, 847) = 1694 / 1694
GCD(2, 847) = 1
GCD of 686, 464, 234, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 464, 234, 847?
GCD of 686, 464, 234, 847 is 1
2. Where do I get the detailed procedure to find GCD of 686, 464, 234, 847?
You can find a detailed procedure to find GCD of 686, 464, 234, 847 on our page.
3. How to find GCD of 686, 464, 234, 847 on a calculator?
You can find the GCD of 686, 464, 234, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.