Online GCD Calculator is useful to find the GCD of 464, 305, 420, 331 quickly. Get the easiest ways to solve the greatest common divisor of 464, 305, 420, 331 i.e 1 in different methods as follows.
Given Input numbers are 464, 305, 420, 331
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
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
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
GCD of numbers is the greatest common divisor
So, the GCD (464, 305, 420, 331) = 1.
Given numbers are 464, 305, 420, 331
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 305 are 5 x 61
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 331 are 331
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 464, 305, 420, 331
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 305) = 141520
GCD(464, 305) = ( 464 x 305 ) / 141520
= 464 / 305
= 464
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
= 1 / 331
= 1
So, Greatest Common Divisor of 464, 305, 420, 331 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 305, 420, 331
The greatest common divisor of numbers 464, 305, 420, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 305, 420, 331 is 1.
1. What is the GCD of 464, 305, 420, 331?
GCD of given numbers 464, 305, 420, 331 is 1
2. How to calculate the greatest common divisor of 464, 305, 420, 331?
We can find the highest common divisor of 464, 305, 420, 331 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 464, 305, 420, 331 i.e 1.
3. How can I use the GCD of 464, 305, 420, 331Calculator?
Out the numbers 464, 305, 420, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.