Online GCD Calculator is useful to find the GCD of 460, 311, 820, 470 quickly. Get the easiest ways to solve the greatest common divisor of 460, 311, 820, 470 i.e 1 in different methods as follows.
Given Input numbers are 460, 311, 820, 470
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (460, 311, 820, 470) = 1.
Given numbers are 460, 311, 820, 470
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 311 are 311
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 311, 820, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 311) = 143060
GCD(460, 311) = ( 460 x 311 ) / 143060
= 460 / 311
= 460
Step2:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
Step3:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
So, Greatest Common Divisor of 460, 311, 820, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 311, 820, 470
The greatest common divisor of numbers 460, 311, 820, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 311, 820, 470 is 1.
1. What is the GCD of 460, 311, 820, 470?
GCD of given numbers 460, 311, 820, 470 is 1
2. How to calculate the greatest common divisor of 460, 311, 820, 470?
We can find the highest common divisor of 460, 311, 820, 470 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 460, 311, 820, 470 i.e 1.
3. How can I use the GCD of 460, 311, 820, 470Calculator?
Out the numbers 460, 311, 820, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.