Online GCD Calculator is useful to find the GCD of 660, 715, 360, 586 quickly. Get the easiest ways to solve the greatest common divisor of 660, 715, 360, 586 i.e 1 in different methods as follows.
Given Input numbers are 660, 715, 360, 586
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
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 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
GCD of numbers is the greatest common divisor
So, the GCD (660, 715, 360, 586) = 1.
Given numbers are 660, 715, 360, 586
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 715 are 5 x 11 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 586 are 2 x 293
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 715, 360, 586
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 715) = 8580
GCD(660, 715) = ( 660 x 715 ) / 8580
= 660 / 715
= 660
Step2:
LCM(55, 360) = 3960
GCD(55, 360) = ( 55 x 360 ) / 3960
= 55 / 360
= 55
Step3:
LCM(5, 586) = 2930
GCD(5, 586) = ( 5 x 586 ) / 2930
= 5 / 586
= 5
So, Greatest Common Divisor of 660, 715, 360, 586 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 715, 360, 586
The greatest common divisor of numbers 660, 715, 360, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 715, 360, 586 is 1.
1. What is the GCD of 660, 715, 360, 586?
GCD of given numbers 660, 715, 360, 586 is 1
2. How to calculate the greatest common divisor of 660, 715, 360, 586?
We can find the highest common divisor of 660, 715, 360, 586 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 660, 715, 360, 586 i.e 1.
3. How can I use the GCD of 660, 715, 360, 586Calculator?
Out the numbers 660, 715, 360, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.