Online GCD Calculator is useful to find the GCD of 725, 143, 360, 339 quickly. Get the easiest ways to solve the greatest common divisor of 725, 143, 360, 339 i.e 1 in different methods as follows.
Given Input numbers are 725, 143, 360, 339
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
GCD of numbers is the greatest common divisor
So, the GCD (725, 143, 360, 339) = 1.
Given numbers are 725, 143, 360, 339
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 143 are 11 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 339 are 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 143, 360, 339
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 143) = 103675
GCD(725, 143) = ( 725 x 143 ) / 103675
= 725 / 143
= 725
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
= 1 / 339
= 1
So, Greatest Common Divisor of 725, 143, 360, 339 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 143, 360, 339
The greatest common divisor of numbers 725, 143, 360, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 143, 360, 339 is 1.
1. What is the GCD of 725, 143, 360, 339?
GCD of given numbers 725, 143, 360, 339 is 1
2. How to calculate the greatest common divisor of 725, 143, 360, 339?
We can find the highest common divisor of 725, 143, 360, 339 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 725, 143, 360, 339 i.e 1.
3. How can I use the GCD of 725, 143, 360, 339Calculator?
Out the numbers 725, 143, 360, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.