Online GCD Calculator is useful to find the GCD of 725, 665, 580, 614 quickly. Get the easiest ways to solve the greatest common divisor of 725, 665, 580, 614 i.e 1 in different methods as follows.
Given Input numbers are 725, 665, 580, 614
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 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (725, 665, 580, 614) = 1.
Given numbers are 725, 665, 580, 614
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 665 are 5 x 7 x 19
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 665, 580, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 665) = 96425
GCD(725, 665) = ( 725 x 665 ) / 96425
= 725 / 665
= 725
Step2:
LCM(5, 580) = 580
GCD(5, 580) = ( 5 x 580 ) / 580
= 5 / 580
= 5
Step3:
LCM(5, 614) = 3070
GCD(5, 614) = ( 5 x 614 ) / 3070
= 5 / 614
= 5
So, Greatest Common Divisor of 725, 665, 580, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 665, 580, 614
The greatest common divisor of numbers 725, 665, 580, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 665, 580, 614 is 1.
1. What is the GCD of 725, 665, 580, 614?
GCD of given numbers 725, 665, 580, 614 is 1
2. How to calculate the greatest common divisor of 725, 665, 580, 614?
We can find the highest common divisor of 725, 665, 580, 614 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, 665, 580, 614 i.e 1.
3. How can I use the GCD of 725, 665, 580, 614Calculator?
Out the numbers 725, 665, 580, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.