Online GCD Calculator is useful to find the GCD of 240, 460, 331, 492 quickly. Get the easiest ways to solve the greatest common divisor of 240, 460, 331, 492 i.e 1 in different methods as follows.
Given Input numbers are 240, 460, 331, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (240, 460, 331, 492) = 1.
Given numbers are 240, 460, 331, 492
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 331 are 331
Prime factors of 492 are 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 460, 331, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 460) = 5520
GCD(240, 460) = ( 240 x 460 ) / 5520
= 240 / 460
= 240
Step2:
LCM(20, 331) = 6620
GCD(20, 331) = ( 20 x 331 ) / 6620
= 20 / 331
= 20
Step3:
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
= 1 / 492
= 1
So, Greatest Common Divisor of 240, 460, 331, 492 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 460, 331, 492
The greatest common divisor of numbers 240, 460, 331, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 460, 331, 492 is 1.
1. What is the GCD of 240, 460, 331, 492?
GCD of given numbers 240, 460, 331, 492 is 1
2. How to calculate the greatest common divisor of 240, 460, 331, 492?
We can find the highest common divisor of 240, 460, 331, 492 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 240, 460, 331, 492 i.e 1.
3. How can I use the GCD of 240, 460, 331, 492Calculator?
Out the numbers 240, 460, 331, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.