Online GCD Calculator is useful to find the GCD of 720, 249, 153, 327 quickly. Get the easiest ways to solve the greatest common divisor of 720, 249, 153, 327 i.e 3 in different methods as follows.
Given Input numbers are 720, 249, 153, 327
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 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
GCD of numbers is the greatest common divisor
So, the GCD (720, 249, 153, 327) = 3.
Given numbers are 720, 249, 153, 327
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 249 are 3 x 83
Prime factors of 153 are 3 x 3 x 17
Prime factors of 327 are 3 x 109
The highest common occurrence is 31
Therefore, GCD of 720, 249, 153, 327 is 3.
Given numbers are 720, 249, 153, 327
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 249) = 59760
GCD(720, 249) = ( 720 x 249 ) / 59760
= 720 / 249
= 720
Step2:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
Step3:
LCM(3, 327) = 327
GCD(3, 327) = ( 3 x 327 ) / 327
= 3 / 327
= 3
So, Greatest Common Divisor of 720, 249, 153, 327 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 249, 153, 327
The greatest common divisor of numbers 720, 249, 153, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 249, 153, 327 is 3.
1. What is the GCD of 720, 249, 153, 327?
GCD of given numbers 720, 249, 153, 327 is 3
2. How to calculate the greatest common divisor of 720, 249, 153, 327?
We can find the highest common divisor of 720, 249, 153, 327 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, 249, 153, 327 i.e 3.
3. How can I use the GCD of 720, 249, 153, 327Calculator?
Out the numbers 720, 249, 153, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.