Online GCD Calculator is useful to find the GCD of 117, 732, 409, 720 quickly. Get the easiest ways to solve the greatest common divisor of 117, 732, 409, 720 i.e 1 in different methods as follows.
Given Input numbers are 117, 732, 409, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
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
GCD of numbers is the greatest common divisor
So, the GCD (117, 732, 409, 720) = 1.
Given numbers are 117, 732, 409, 720
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 409 are 409
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 732, 409, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 732) = 28548
GCD(117, 732) = ( 117 x 732 ) / 28548
= 117 / 732
= 117
Step2:
LCM(3, 409) = 1227
GCD(3, 409) = ( 3 x 409 ) / 1227
= 3 / 409
= 3
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 117, 732, 409, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 732, 409, 720
The greatest common divisor of numbers 117, 732, 409, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 732, 409, 720 is 1.
1. What is the GCD of 117, 732, 409, 720?
GCD of given numbers 117, 732, 409, 720 is 1
2. How to calculate the greatest common divisor of 117, 732, 409, 720?
We can find the highest common divisor of 117, 732, 409, 720 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 117, 732, 409, 720 i.e 1.
3. How can I use the GCD of 117, 732, 409, 720Calculator?
Out the numbers 117, 732, 409, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.