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, 133, 99, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 133, 99, 683 is 1
GCD(542, 133, 99, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 133, 99, 683 is 1
GCD(542, 133, 99, 683) = 1
Given Input numbers are 542, 133, 99, 683
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 542, 133, 99, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 133, 99, 683 is 1.
Therefore, GCD of numbers 542, 133, 99, 683 is 1
Given Input Data is 542, 133, 99, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 133 is 7 x 19
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 683 is 683
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, 133) = 72086
GCD(542, 133) = ( 542 x 133 ) / 72086
GCD(542, 133) = 72086 / 72086
GCD(542, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 542, 133, 99, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 133, 99, 683?
GCD of 542, 133, 99, 683 is 1
2. Where do I get the detailed procedure to find GCD of 542, 133, 99, 683?
You can find a detailed procedure to find GCD of 542, 133, 99, 683 on our page.
3. How to find GCD of 542, 133, 99, 683 on a calculator?
You can find the GCD of 542, 133, 99, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.