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 682, 421, 857, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 421, 857, 874 is 1
GCD(682, 421, 857, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 421, 857, 874 is 1
GCD(682, 421, 857, 874) = 1
Given Input numbers are 682, 421, 857, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 682, 421, 857, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 421, 857, 874 is 1.
Therefore, GCD of numbers 682, 421, 857, 874 is 1
Given Input Data is 682, 421, 857, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 421 is 421
Prime Factorization of 857 is 857
Prime Factorization of 874 is 2 x 19 x 23
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(682, 421) = 287122
GCD(682, 421) = ( 682 x 421 ) / 287122
GCD(682, 421) = 287122 / 287122
GCD(682, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 682, 421, 857, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 421, 857, 874?
GCD of 682, 421, 857, 874 is 1
2. Where do I get the detailed procedure to find GCD of 682, 421, 857, 874?
You can find a detailed procedure to find GCD of 682, 421, 857, 874 on our page.
3. How to find GCD of 682, 421, 857, 874 on a calculator?
You can find the GCD of 682, 421, 857, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.