Online GCD Calculator is useful to find the GCD of 240, 452, 468, 390 quickly. Get the easiest ways to solve the greatest common divisor of 240, 452, 468, 390 i.e 2 in different methods as follows.
Given Input numbers are 240, 452, 468, 390
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (240, 452, 468, 390) = 2.
Given numbers are 240, 452, 468, 390
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 452 are 2 x 2 x 113
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 240, 452, 468, 390 is 2.
Given numbers are 240, 452, 468, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 452) = 27120
GCD(240, 452) = ( 240 x 452 ) / 27120
= 240 / 452
= 240
Step2:
LCM(4, 468) = 468
GCD(4, 468) = ( 4 x 468 ) / 468
= 4 / 468
= 4
Step3:
LCM(4, 390) = 780
GCD(4, 390) = ( 4 x 390 ) / 780
= 4 / 390
= 4
So, Greatest Common Divisor of 240, 452, 468, 390 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 452, 468, 390
The greatest common divisor of numbers 240, 452, 468, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 452, 468, 390 is 2.
1. What is the GCD of 240, 452, 468, 390?
GCD of given numbers 240, 452, 468, 390 is 2
2. How to calculate the greatest common divisor of 240, 452, 468, 390?
We can find the highest common divisor of 240, 452, 468, 390 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, 452, 468, 390 i.e 2.
3. How can I use the GCD of 240, 452, 468, 390Calculator?
Out the numbers 240, 452, 468, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.