Online GCD Calculator is useful to find the GCD of 690, 660, 317, 755 quickly. Get the easiest ways to solve the greatest common divisor of 690, 660, 317, 755 i.e 1 in different methods as follows.
Given Input numbers are 690, 660, 317, 755
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
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 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
GCD of numbers is the greatest common divisor
So, the GCD (690, 660, 317, 755) = 1.
Given numbers are 690, 660, 317, 755
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 317 are 317
Prime factors of 755 are 5 x 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 660, 317, 755
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 660) = 15180
GCD(690, 660) = ( 690 x 660 ) / 15180
= 690 / 660
= 690
Step2:
LCM(30, 317) = 9510
GCD(30, 317) = ( 30 x 317 ) / 9510
= 30 / 317
= 30
Step3:
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
= 1 / 755
= 1
So, Greatest Common Divisor of 690, 660, 317, 755 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 660, 317, 755
The greatest common divisor of numbers 690, 660, 317, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 660, 317, 755 is 1.
1. What is the GCD of 690, 660, 317, 755?
GCD of given numbers 690, 660, 317, 755 is 1
2. How to calculate the greatest common divisor of 690, 660, 317, 755?
We can find the highest common divisor of 690, 660, 317, 755 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 690, 660, 317, 755 i.e 1.
3. How can I use the GCD of 690, 660, 317, 755Calculator?
Out the numbers 690, 660, 317, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.