Online GCD Calculator is useful to find the GCD of 720, 535, 405, 640 quickly. Get the easiest ways to solve the greatest common divisor of 720, 535, 405, 640 i.e 5 in different methods as follows.
Given Input numbers are 720, 535, 405, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (720, 535, 405, 640) = 5.
Given numbers are 720, 535, 405, 640
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 535 are 5 x 107
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 51
Therefore, GCD of 720, 535, 405, 640 is 5.
Given numbers are 720, 535, 405, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 535) = 77040
GCD(720, 535) = ( 720 x 535 ) / 77040
= 720 / 535
= 720
Step2:
LCM(5, 405) = 405
GCD(5, 405) = ( 5 x 405 ) / 405
= 5 / 405
= 5
Step3:
LCM(5, 640) = 640
GCD(5, 640) = ( 5 x 640 ) / 640
= 5 / 640
= 5
So, Greatest Common Divisor of 720, 535, 405, 640 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 535, 405, 640
The greatest common divisor of numbers 720, 535, 405, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 535, 405, 640 is 5.
1. What is the GCD of 720, 535, 405, 640?
GCD of given numbers 720, 535, 405, 640 is 5
2. How to calculate the greatest common divisor of 720, 535, 405, 640?
We can find the highest common divisor of 720, 535, 405, 640 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 720, 535, 405, 640 i.e 5.
3. How can I use the GCD of 720, 535, 405, 640Calculator?
Out the numbers 720, 535, 405, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.