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 842, 644, 92, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 644, 92, 705 is 1
GCD(842, 644, 92, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 644, 92, 705 is 1
GCD(842, 644, 92, 705) = 1
Given Input numbers are 842, 644, 92, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 842, 644, 92, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 644, 92, 705 is 1.
Therefore, GCD of numbers 842, 644, 92, 705 is 1
Given Input Data is 842, 644, 92, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 705 is 3 x 5 x 47
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(842, 644) = 271124
GCD(842, 644) = ( 842 x 644 ) / 271124
GCD(842, 644) = 542248 / 271124
GCD(842, 644) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 92) = 92
GCD(2, 92) = ( 2 x 92 ) / 92
GCD(2, 92) = 184 / 92
GCD(2, 92) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
GCD(2, 705) = 1410 / 1410
GCD(2, 705) = 1
GCD of 842, 644, 92, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 644, 92, 705?
GCD of 842, 644, 92, 705 is 1
2. Where do I get the detailed procedure to find GCD of 842, 644, 92, 705?
You can find a detailed procedure to find GCD of 842, 644, 92, 705 on our page.
3. How to find GCD of 842, 644, 92, 705 on a calculator?
You can find the GCD of 842, 644, 92, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.