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, 921, 68, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 921, 68, 542 is 1
GCD(842, 921, 68, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 921, 68, 542 is 1
GCD(842, 921, 68, 542) = 1
Given Input numbers are 842, 921, 68, 542
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 842, 921, 68, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 921, 68, 542 is 1.
Therefore, GCD of numbers 842, 921, 68, 542 is 1
Given Input Data is 842, 921, 68, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 921 is 3 x 307
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 542 is 2 x 271
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, 921) = 775482
GCD(842, 921) = ( 842 x 921 ) / 775482
GCD(842, 921) = 775482 / 775482
GCD(842, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 842, 921, 68, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 921, 68, 542?
GCD of 842, 921, 68, 542 is 1
2. Where do I get the detailed procedure to find GCD of 842, 921, 68, 542?
You can find a detailed procedure to find GCD of 842, 921, 68, 542 on our page.
3. How to find GCD of 842, 921, 68, 542 on a calculator?
You can find the GCD of 842, 921, 68, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.