Online GCD Calculator is useful to find the GCD of 417, 720, 714, 165 quickly. Get the easiest ways to solve the greatest common divisor of 417, 720, 714, 165 i.e 3 in different methods as follows.
Given Input numbers are 417, 720, 714, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
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 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (417, 720, 714, 165) = 3.
Given numbers are 417, 720, 714, 165
The list of prime factors of all numbers are
Prime factors of 417 are 3 x 139
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 417, 720, 714, 165 is 3.
Given numbers are 417, 720, 714, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(417, 720) = 100080
GCD(417, 720) = ( 417 x 720 ) / 100080
= 417 / 720
= 417
Step2:
LCM(3, 714) = 714
GCD(3, 714) = ( 3 x 714 ) / 714
= 3 / 714
= 3
Step3:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
So, Greatest Common Divisor of 417, 720, 714, 165 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 417, 720, 714, 165
The greatest common divisor of numbers 417, 720, 714, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 417, 720, 714, 165 is 3.
1. What is the GCD of 417, 720, 714, 165?
GCD of given numbers 417, 720, 714, 165 is 3
2. How to calculate the greatest common divisor of 417, 720, 714, 165?
We can find the highest common divisor of 417, 720, 714, 165 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 417, 720, 714, 165 i.e 3.
3. How can I use the GCD of 417, 720, 714, 165Calculator?
Out the numbers 417, 720, 714, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.