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 542, 891, 764, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 891, 764, 981 is 1
GCD(542, 891, 764, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 891, 764, 981 is 1
GCD(542, 891, 764, 981) = 1
Given Input numbers are 542, 891, 764, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 542, 891, 764, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 891, 764, 981 is 1.
Therefore, GCD of numbers 542, 891, 764, 981 is 1
Given Input Data is 542, 891, 764, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 981 is 3 x 3 x 109
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(542, 891) = 482922
GCD(542, 891) = ( 542 x 891 ) / 482922
GCD(542, 891) = 482922 / 482922
GCD(542, 891) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 542, 891, 764, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 891, 764, 981?
GCD of 542, 891, 764, 981 is 1
2. Where do I get the detailed procedure to find GCD of 542, 891, 764, 981?
You can find a detailed procedure to find GCD of 542, 891, 764, 981 on our page.
3. How to find GCD of 542, 891, 764, 981 on a calculator?
You can find the GCD of 542, 891, 764, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.