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, 392, 53, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 392, 53, 684 is 1
GCD(842, 392, 53, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 392, 53, 684 is 1
GCD(842, 392, 53, 684) = 1
Given Input numbers are 842, 392, 53, 684
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 842, 392, 53, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 392, 53, 684 is 1.
Therefore, GCD of numbers 842, 392, 53, 684 is 1
Given Input Data is 842, 392, 53, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 53 is 53
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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, 392) = 165032
GCD(842, 392) = ( 842 x 392 ) / 165032
GCD(842, 392) = 330064 / 165032
GCD(842, 392) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 842, 392, 53, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 392, 53, 684?
GCD of 842, 392, 53, 684 is 1
2. Where do I get the detailed procedure to find GCD of 842, 392, 53, 684?
You can find a detailed procedure to find GCD of 842, 392, 53, 684 on our page.
3. How to find GCD of 842, 392, 53, 684 on a calculator?
You can find the GCD of 842, 392, 53, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.