Online GCD Calculator is useful to find the GCD of 461, 130, 428, 689 quickly. Get the easiest ways to solve the greatest common divisor of 461, 130, 428, 689 i.e 1 in different methods as follows.
Given Input numbers are 461, 130, 428, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (461, 130, 428, 689) = 1.
Given numbers are 461, 130, 428, 689
The list of prime factors of all numbers are
Prime factors of 461 are 461
Prime factors of 130 are 2 x 5 x 13
Prime factors of 428 are 2 x 2 x 107
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 461, 130, 428, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(461, 130) = 59930
GCD(461, 130) = ( 461 x 130 ) / 59930
= 461 / 130
= 461
Step2:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 461, 130, 428, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 461, 130, 428, 689
The greatest common divisor of numbers 461, 130, 428, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 130, 428, 689 is 1.
1. What is the GCD of 461, 130, 428, 689?
GCD of given numbers 461, 130, 428, 689 is 1
2. How to calculate the greatest common divisor of 461, 130, 428, 689?
We can find the highest common divisor of 461, 130, 428, 689 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 461, 130, 428, 689 i.e 1.
3. How can I use the GCD of 461, 130, 428, 689Calculator?
Out the numbers 461, 130, 428, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.