Online GCD Calculator is useful to find the GCD of 657, 270, 725, 720 quickly. Get the easiest ways to solve the greatest common divisor of 657, 270, 725, 720 i.e 1 in different methods as follows.
Given Input numbers are 657, 270, 725, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
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 (657, 270, 725, 720) = 1.
Given numbers are 657, 270, 725, 720
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 725 are 5 x 5 x 29
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 657, 270, 725, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 270) = 19710
GCD(657, 270) = ( 657 x 270 ) / 19710
= 657 / 270
= 657
Step2:
LCM(9, 725) = 6525
GCD(9, 725) = ( 9 x 725 ) / 6525
= 9 / 725
= 9
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 657, 270, 725, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 270, 725, 720
The greatest common divisor of numbers 657, 270, 725, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 270, 725, 720 is 1.
1. What is the GCD of 657, 270, 725, 720?
GCD of given numbers 657, 270, 725, 720 is 1
2. How to calculate the greatest common divisor of 657, 270, 725, 720?
We can find the highest common divisor of 657, 270, 725, 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 657, 270, 725, 720 i.e 1.
3. How can I use the GCD of 657, 270, 725, 720Calculator?
Out the numbers 657, 270, 725, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.