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 533, 105, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 105, 138 is 1
GCD(533, 105, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 105, 138 is 1
GCD(533, 105, 138) = 1
Given Input numbers are 533, 105, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 533, 105, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 105, 138 is 1.
Therefore, GCD of numbers 533, 105, 138 is 1
Given Input Data is 533, 105, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 138 is 2 x 3 x 23
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(533, 105) = 55965
GCD(533, 105) = ( 533 x 105 ) / 55965
GCD(533, 105) = 55965 / 55965
GCD(533, 105) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 533, 105, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 105, 138?
GCD of 533, 105, 138 is 1
2. Where do I get the detailed procedure to find GCD of 533, 105, 138?
You can find a detailed procedure to find GCD of 533, 105, 138 on our page.
3. How to find GCD of 533, 105, 138 on a calculator?
You can find the GCD of 533, 105, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.