Online GCD Calculator is useful to find the GCD of 240, 530, 465, 855 quickly. Get the easiest ways to solve the greatest common divisor of 240, 530, 465, 855 i.e 5 in different methods as follows.
Given Input numbers are 240, 530, 465, 855
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 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (240, 530, 465, 855) = 5.
Given numbers are 240, 530, 465, 855
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 530 are 2 x 5 x 53
Prime factors of 465 are 3 x 5 x 31
Prime factors of 855 are 3 x 3 x 5 x 19
The highest common occurrence is 51
Therefore, GCD of 240, 530, 465, 855 is 5.
Given numbers are 240, 530, 465, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 530) = 12720
GCD(240, 530) = ( 240 x 530 ) / 12720
= 240 / 530
= 240
Step2:
LCM(10, 465) = 930
GCD(10, 465) = ( 10 x 465 ) / 930
= 10 / 465
= 10
Step3:
LCM(5, 855) = 855
GCD(5, 855) = ( 5 x 855 ) / 855
= 5 / 855
= 5
So, Greatest Common Divisor of 240, 530, 465, 855 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 530, 465, 855
The greatest common divisor of numbers 240, 530, 465, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 530, 465, 855 is 5.
1. What is the GCD of 240, 530, 465, 855?
GCD of given numbers 240, 530, 465, 855 is 5
2. How to calculate the greatest common divisor of 240, 530, 465, 855?
We can find the highest common divisor of 240, 530, 465, 855 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, 530, 465, 855 i.e 5.
3. How can I use the GCD of 240, 530, 465, 855Calculator?
Out the numbers 240, 530, 465, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.