Online GCD Calculator is useful to find the GCD of 240, 515, 600, 655 quickly. Get the easiest ways to solve the greatest common divisor of 240, 515, 600, 655 i.e 5 in different methods as follows.
Given Input numbers are 240, 515, 600, 655
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 515 :
The positive integer divisors of 515 that completely divides 515 are.
1, 5, 103, 515
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (240, 515, 600, 655) = 5.
Given numbers are 240, 515, 600, 655
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 515 are 5 x 103
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 655 are 5 x 131
The highest common occurrence is 51
Therefore, GCD of 240, 515, 600, 655 is 5.
Given numbers are 240, 515, 600, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 515) = 24720
GCD(240, 515) = ( 240 x 515 ) / 24720
= 240 / 515
= 240
Step2:
LCM(5, 600) = 600
GCD(5, 600) = ( 5 x 600 ) / 600
= 5 / 600
= 5
Step3:
LCM(5, 655) = 655
GCD(5, 655) = ( 5 x 655 ) / 655
= 5 / 655
= 5
So, Greatest Common Divisor of 240, 515, 600, 655 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 515, 600, 655
The greatest common divisor of numbers 240, 515, 600, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 515, 600, 655 is 5.
1. What is the GCD of 240, 515, 600, 655?
GCD of given numbers 240, 515, 600, 655 is 5
2. How to calculate the greatest common divisor of 240, 515, 600, 655?
We can find the highest common divisor of 240, 515, 600, 655 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, 515, 600, 655 i.e 5.
3. How can I use the GCD of 240, 515, 600, 655Calculator?
Out the numbers 240, 515, 600, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.