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 509, 137, 112, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 137, 112, 106 is 1
GCD(509, 137, 112, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 137, 112, 106 is 1
GCD(509, 137, 112, 106) = 1
Given Input numbers are 509, 137, 112, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 509, 137, 112, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 137, 112, 106 is 1.
Therefore, GCD of numbers 509, 137, 112, 106 is 1
Given Input Data is 509, 137, 112, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 137 is 137
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 106 is 2 x 53
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(509, 137) = 69733
GCD(509, 137) = ( 509 x 137 ) / 69733
GCD(509, 137) = 69733 / 69733
GCD(509, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 509, 137, 112, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 137, 112, 106?
GCD of 509, 137, 112, 106 is 1
2. Where do I get the detailed procedure to find GCD of 509, 137, 112, 106?
You can find a detailed procedure to find GCD of 509, 137, 112, 106 on our page.
3. How to find GCD of 509, 137, 112, 106 on a calculator?
You can find the GCD of 509, 137, 112, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.