GCD of 130, 484, 59, 309 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 130, 484, 59, 309 quickly. Get the easiest ways to solve the greatest common divisor of 130, 484, 59, 309 i.e 1 in different methods as follows.
Given Input numbers are 130, 484, 59, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 59 :
The positive integer divisors of 59 that completely divides 59 are.
1, 59
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (130, 484, 59, 309) = 1.
Given numbers are 130, 484, 59, 309
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 59 are 59
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 130, 484, 59, 309 using LCM Formula
Given numbers are 130, 484, 59, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 484) = 31460
GCD(130, 484) = ( 130 x 484 ) / 31460
= 130 / 484
= 130
Step2:
LCM(2, 59) = 118
GCD(2, 59) = ( 2 x 59 ) / 118
= 2 / 59
= 2
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 130, 484, 59, 309 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 130, 484, 59, 309
Given numbers are 130, 484, 59, 309
The greatest common divisor of numbers 130, 484, 59, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 484, 59, 309 is 1.
FAQs on GCD of 130, 484, 59, 309 Calculator
1. What is the GCD of 130, 484, 59, 309?
GCD of given numbers 130, 484, 59, 309 is 1
2. How to calculate the greatest common divisor of 130, 484, 59, 309?
We can find the highest common divisor of 130, 484, 59, 309 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 130, 484, 59, 309 i.e 1.
3. How can I use the GCD of 130, 484, 59, 309Calculator?
Out the numbers 130, 484, 59, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.