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 342, 933, 542, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 933, 542, 732 is 1
GCD(342, 933, 542, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 933, 542, 732 is 1
GCD(342, 933, 542, 732) = 1
Given Input numbers are 342, 933, 542, 732
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 342, 933, 542, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 933, 542, 732 is 1.
Therefore, GCD of numbers 342, 933, 542, 732 is 1
Given Input Data is 342, 933, 542, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 933 is 3 x 311
Prime Factorization of 542 is 2 x 271
Prime Factorization of 732 is 2 x 2 x 3 x 61
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(342, 933) = 106362
GCD(342, 933) = ( 342 x 933 ) / 106362
GCD(342, 933) = 319086 / 106362
GCD(342, 933) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 542) = 1626
GCD(3, 542) = ( 3 x 542 ) / 1626
GCD(3, 542) = 1626 / 1626
GCD(3, 542) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 342, 933, 542, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 933, 542, 732?
GCD of 342, 933, 542, 732 is 1
2. Where do I get the detailed procedure to find GCD of 342, 933, 542, 732?
You can find a detailed procedure to find GCD of 342, 933, 542, 732 on our page.
3. How to find GCD of 342, 933, 542, 732 on a calculator?
You can find the GCD of 342, 933, 542, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.