GCD of 469, 315, 105, 482 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 469, 315, 105, 482 quickly. Get the easiest ways to solve the greatest common divisor of 469, 315, 105, 482 i.e 1 in different methods as follows.
Given Input numbers are 469, 315, 105, 482
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
GCD of numbers is the greatest common divisor
So, the GCD (469, 315, 105, 482) = 1.
Given numbers are 469, 315, 105, 482
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 105 are 3 x 5 x 7
Prime factors of 482 are 2 x 241
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 469, 315, 105, 482 using LCM Formula
Given numbers are 469, 315, 105, 482
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 315) = 21105
GCD(469, 315) = ( 469 x 315 ) / 21105
= 469 / 315
= 469
Step2:
LCM(7, 105) = 105
GCD(7, 105) = ( 7 x 105 ) / 105
= 7 / 105
= 7
Step3:
LCM(7, 482) = 3374
GCD(7, 482) = ( 7 x 482 ) / 3374
= 7 / 482
= 7
So, Greatest Common Divisor of 469, 315, 105, 482 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 469, 315, 105, 482
Given numbers are 469, 315, 105, 482
The greatest common divisor of numbers 469, 315, 105, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 315, 105, 482 is 1.
FAQs on GCD of 469, 315, 105, 482 Calculator
1. What is the GCD of 469, 315, 105, 482?
GCD of given numbers 469, 315, 105, 482 is 1
2. How to calculate the greatest common divisor of 469, 315, 105, 482?
We can find the highest common divisor of 469, 315, 105, 482 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 469, 315, 105, 482 i.e 1.
3. How can I use the GCD of 469, 315, 105, 482Calculator?
Out the numbers 469, 315, 105, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.