Online GCD Calculator is useful to find the GCD of 765, 180, 857, 969 quickly. Get the easiest ways to solve the greatest common divisor of 765, 180, 857, 969 i.e 1 in different methods as follows.
Given Input numbers are 765, 180, 857, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (765, 180, 857, 969) = 1.
Given numbers are 765, 180, 857, 969
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 857 are 857
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 765, 180, 857, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 180) = 3060
GCD(765, 180) = ( 765 x 180 ) / 3060
= 765 / 180
= 765
Step2:
LCM(45, 857) = 38565
GCD(45, 857) = ( 45 x 857 ) / 38565
= 45 / 857
= 45
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 765, 180, 857, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 765, 180, 857, 969
The greatest common divisor of numbers 765, 180, 857, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 180, 857, 969 is 1.
1. What is the GCD of 765, 180, 857, 969?
GCD of given numbers 765, 180, 857, 969 is 1
2. How to calculate the greatest common divisor of 765, 180, 857, 969?
We can find the highest common divisor of 765, 180, 857, 969 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 765, 180, 857, 969 i.e 1.
3. How can I use the GCD of 765, 180, 857, 969Calculator?
Out the numbers 765, 180, 857, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.