Online GCD Calculator is useful to find the GCD of 311, 172, 420, 461 quickly. Get the easiest ways to solve the greatest common divisor of 311, 172, 420, 461 i.e 1 in different methods as follows.
Given Input numbers are 311, 172, 420, 461
In the factoring method, we have to find the divisors of all numbers
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
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 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
GCD of numbers is the greatest common divisor
So, the GCD (311, 172, 420, 461) = 1.
Given numbers are 311, 172, 420, 461
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 172 are 2 x 2 x 43
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 461 are 461
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 172, 420, 461
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 172) = 53492
GCD(311, 172) = ( 311 x 172 ) / 53492
= 311 / 172
= 311
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
= 1 / 461
= 1
So, Greatest Common Divisor of 311, 172, 420, 461 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 172, 420, 461
The greatest common divisor of numbers 311, 172, 420, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 172, 420, 461 is 1.
1. What is the GCD of 311, 172, 420, 461?
GCD of given numbers 311, 172, 420, 461 is 1
2. How to calculate the greatest common divisor of 311, 172, 420, 461?
We can find the highest common divisor of 311, 172, 420, 461 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 311, 172, 420, 461 i.e 1.
3. How can I use the GCD of 311, 172, 420, 461Calculator?
Out the numbers 311, 172, 420, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.