Online GCD Calculator is useful to find the GCD of 459, 130, 430, 420 quickly. Get the easiest ways to solve the greatest common divisor of 459, 130, 430, 420 i.e 1 in different methods as follows.
Given Input numbers are 459, 130, 430, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (459, 130, 430, 420) = 1.
Given numbers are 459, 130, 430, 420
The list of prime factors of all numbers are
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 130 are 2 x 5 x 13
Prime factors of 430 are 2 x 5 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 459, 130, 430, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(459, 130) = 59670
GCD(459, 130) = ( 459 x 130 ) / 59670
= 459 / 130
= 459
Step2:
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
= 1 / 430
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 459, 130, 430, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 459, 130, 430, 420
The greatest common divisor of numbers 459, 130, 430, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 130, 430, 420 is 1.
1. What is the GCD of 459, 130, 430, 420?
GCD of given numbers 459, 130, 430, 420 is 1
2. How to calculate the greatest common divisor of 459, 130, 430, 420?
We can find the highest common divisor of 459, 130, 430, 420 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 459, 130, 430, 420 i.e 1.
3. How can I use the GCD of 459, 130, 430, 420Calculator?
Out the numbers 459, 130, 430, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.