Online GCD Calculator is useful to find the GCD of 310, 464, 160, 131 quickly. Get the easiest ways to solve the greatest common divisor of 310, 464, 160, 131 i.e 1 in different methods as follows.
Given Input numbers are 310, 464, 160, 131
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (310, 464, 160, 131) = 1.
Given numbers are 310, 464, 160, 131
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 464, 160, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 464) = 71920
GCD(310, 464) = ( 310 x 464 ) / 71920
= 310 / 464
= 310
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
= 2 / 131
= 2
So, Greatest Common Divisor of 310, 464, 160, 131 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 464, 160, 131
The greatest common divisor of numbers 310, 464, 160, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 464, 160, 131 is 1.
1. What is the GCD of 310, 464, 160, 131?
GCD of given numbers 310, 464, 160, 131 is 1
2. How to calculate the greatest common divisor of 310, 464, 160, 131?
We can find the highest common divisor of 310, 464, 160, 131 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 310, 464, 160, 131 i.e 1.
3. How can I use the GCD of 310, 464, 160, 131Calculator?
Out the numbers 310, 464, 160, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.