GCD of 509, 308, 50, 106 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 509, 308, 50, 106 quickly. Get the easiest ways to solve the greatest common divisor of 509, 308, 50, 106 i.e 1 in different methods as follows.
Given Input numbers are 509, 308, 50, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 50 :
The positive integer divisors of 50 that completely divides 50 are.
1, 2, 5, 10, 25, 50
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (509, 308, 50, 106) = 1.
Given numbers are 509, 308, 50, 106
The list of prime factors of all numbers are
Prime factors of 509 are 509
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 50 are 2 x 5 x 5
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 509, 308, 50, 106 using LCM Formula
Given numbers are 509, 308, 50, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(509, 308) = 156772
GCD(509, 308) = ( 509 x 308 ) / 156772
= 509 / 308
= 509
Step2:
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
= 1 / 50
= 1
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 509, 308, 50, 106 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 509, 308, 50, 106
Given numbers are 509, 308, 50, 106
The greatest common divisor of numbers 509, 308, 50, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 308, 50, 106 is 1.
FAQs on GCD of 509, 308, 50, 106 Calculator
1. What is the GCD of 509, 308, 50, 106?
GCD of given numbers 509, 308, 50, 106 is 1
2. How to calculate the greatest common divisor of 509, 308, 50, 106?
We can find the highest common divisor of 509, 308, 50, 106 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 509, 308, 50, 106 i.e 1.
3. How can I use the GCD of 509, 308, 50, 106Calculator?
Out the numbers 509, 308, 50, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.