Online GCD Calculator is useful to find the GCD of 720, 171, 913, 355 quickly. Get the easiest ways to solve the greatest common divisor of 720, 171, 913, 355 i.e 1 in different methods as follows.
Given Input numbers are 720, 171, 913, 355
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 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (720, 171, 913, 355) = 1.
Given numbers are 720, 171, 913, 355
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 171 are 3 x 3 x 19
Prime factors of 913 are 11 x 83
Prime factors of 355 are 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 171, 913, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 171) = 13680
GCD(720, 171) = ( 720 x 171 ) / 13680
= 720 / 171
= 720
Step2:
LCM(9, 913) = 8217
GCD(9, 913) = ( 9 x 913 ) / 8217
= 9 / 913
= 9
Step3:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
So, Greatest Common Divisor of 720, 171, 913, 355 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 171, 913, 355
The greatest common divisor of numbers 720, 171, 913, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 171, 913, 355 is 1.
1. What is the GCD of 720, 171, 913, 355?
GCD of given numbers 720, 171, 913, 355 is 1
2. How to calculate the greatest common divisor of 720, 171, 913, 355?
We can find the highest common divisor of 720, 171, 913, 355 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, 171, 913, 355 i.e 1.
3. How can I use the GCD of 720, 171, 913, 355Calculator?
Out the numbers 720, 171, 913, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.