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 106, 537, 99, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 537, 99, 332 is 1
GCD(106, 537, 99, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 537, 99, 332 is 1
GCD(106, 537, 99, 332) = 1
Given Input numbers are 106, 537, 99, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 106, 537, 99, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 537, 99, 332 is 1.
Therefore, GCD of numbers 106, 537, 99, 332 is 1
Given Input Data is 106, 537, 99, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 537 is 3 x 179
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 332 is 2 x 2 x 83
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(106, 537) = 56922
GCD(106, 537) = ( 106 x 537 ) / 56922
GCD(106, 537) = 56922 / 56922
GCD(106, 537) = 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 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
GCD of 106, 537, 99, 332 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 537, 99, 332?
GCD of 106, 537, 99, 332 is 1
2. Where do I get the detailed procedure to find GCD of 106, 537, 99, 332?
You can find a detailed procedure to find GCD of 106, 537, 99, 332 on our page.
3. How to find GCD of 106, 537, 99, 332 on a calculator?
You can find the GCD of 106, 537, 99, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.