Online GCD Calculator is useful to find the GCD of 345, 729, 725, 870 quickly. Get the easiest ways to solve the greatest common divisor of 345, 729, 725, 870 i.e 1 in different methods as follows.
Given Input numbers are 345, 729, 725, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (345, 729, 725, 870) = 1.
Given numbers are 345, 729, 725, 870
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 725 are 5 x 5 x 29
Prime factors of 870 are 2 x 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 729, 725, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 729) = 83835
GCD(345, 729) = ( 345 x 729 ) / 83835
= 345 / 729
= 345
Step2:
LCM(3, 725) = 2175
GCD(3, 725) = ( 3 x 725 ) / 2175
= 3 / 725
= 3
Step3:
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
= 1 / 870
= 1
So, Greatest Common Divisor of 345, 729, 725, 870 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 729, 725, 870
The greatest common divisor of numbers 345, 729, 725, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 729, 725, 870 is 1.
1. What is the GCD of 345, 729, 725, 870?
GCD of given numbers 345, 729, 725, 870 is 1
2. How to calculate the greatest common divisor of 345, 729, 725, 870?
We can find the highest common divisor of 345, 729, 725, 870 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 345, 729, 725, 870 i.e 1.
3. How can I use the GCD of 345, 729, 725, 870Calculator?
Out the numbers 345, 729, 725, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.