Online GCD Calculator is useful to find the GCD of 462, 460, 549, 391 quickly. Get the easiest ways to solve the greatest common divisor of 462, 460, 549, 391 i.e 1 in different methods as follows.
Given Input numbers are 462, 460, 549, 391
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 391 :
The positive integer divisors of 391 that completely divides 391 are.
1, 17, 23, 391
GCD of numbers is the greatest common divisor
So, the GCD (462, 460, 549, 391) = 1.
Given numbers are 462, 460, 549, 391
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 549 are 3 x 3 x 61
Prime factors of 391 are 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 460, 549, 391
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 460) = 106260
GCD(462, 460) = ( 462 x 460 ) / 106260
= 462 / 460
= 462
Step2:
LCM(2, 549) = 1098
GCD(2, 549) = ( 2 x 549 ) / 1098
= 2 / 549
= 2
Step3:
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
= 1 / 391
= 1
So, Greatest Common Divisor of 462, 460, 549, 391 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 460, 549, 391
The greatest common divisor of numbers 462, 460, 549, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 460, 549, 391 is 1.
1. What is the GCD of 462, 460, 549, 391?
GCD of given numbers 462, 460, 549, 391 is 1
2. How to calculate the greatest common divisor of 462, 460, 549, 391?
We can find the highest common divisor of 462, 460, 549, 391 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 462, 460, 549, 391 i.e 1.
3. How can I use the GCD of 462, 460, 549, 391Calculator?
Out the numbers 462, 460, 549, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.