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 642, 794, 681, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 794, 681, 871 is 1
GCD(642, 794, 681, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 794, 681, 871 is 1
GCD(642, 794, 681, 871) = 1
Given Input numbers are 642, 794, 681, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 642, 794, 681, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 794, 681, 871 is 1.
Therefore, GCD of numbers 642, 794, 681, 871 is 1
Given Input Data is 642, 794, 681, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 794 is 2 x 397
Prime Factorization of 681 is 3 x 227
Prime Factorization of 871 is 13 x 67
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(642, 794) = 254874
GCD(642, 794) = ( 642 x 794 ) / 254874
GCD(642, 794) = 509748 / 254874
GCD(642, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 681) = 1362
GCD(2, 681) = ( 2 x 681 ) / 1362
GCD(2, 681) = 1362 / 1362
GCD(2, 681) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 642, 794, 681, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 794, 681, 871?
GCD of 642, 794, 681, 871 is 1
2. Where do I get the detailed procedure to find GCD of 642, 794, 681, 871?
You can find a detailed procedure to find GCD of 642, 794, 681, 871 on our page.
3. How to find GCD of 642, 794, 681, 871 on a calculator?
You can find the GCD of 642, 794, 681, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.