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 126, 537, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 537, 103 is 1
GCD(126, 537, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 537, 103 is 1
GCD(126, 537, 103) = 1
Given Input numbers are 126, 537, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 126, 537, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 537, 103 is 1.
Therefore, GCD of numbers 126, 537, 103 is 1
Given Input Data is 126, 537, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 537 is 3 x 179
Prime Factorization of 103 is 103
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(126, 537) = 22554
GCD(126, 537) = ( 126 x 537 ) / 22554
GCD(126, 537) = 67662 / 22554
GCD(126, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
GCD(3, 103) = 309 / 309
GCD(3, 103) = 1
GCD of 126, 537, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 537, 103?
GCD of 126, 537, 103 is 1
2. Where do I get the detailed procedure to find GCD of 126, 537, 103?
You can find a detailed procedure to find GCD of 126, 537, 103 on our page.
3. How to find GCD of 126, 537, 103 on a calculator?
You can find the GCD of 126, 537, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.