Online GCD Calculator is useful to find the GCD of 782, 780, 965, 966 quickly. Get the easiest ways to solve the greatest common divisor of 782, 780, 965, 966 i.e 1 in different methods as follows.
Given Input numbers are 782, 780, 965, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (782, 780, 965, 966) = 1.
Given numbers are 782, 780, 965, 966
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 965 are 5 x 193
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 780, 965, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 780) = 304980
GCD(782, 780) = ( 782 x 780 ) / 304980
= 782 / 780
= 782
Step2:
LCM(2, 965) = 1930
GCD(2, 965) = ( 2 x 965 ) / 1930
= 2 / 965
= 2
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 782, 780, 965, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 780, 965, 966
The greatest common divisor of numbers 782, 780, 965, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 780, 965, 966 is 1.
1. What is the GCD of 782, 780, 965, 966?
GCD of given numbers 782, 780, 965, 966 is 1
2. How to calculate the greatest common divisor of 782, 780, 965, 966?
We can find the highest common divisor of 782, 780, 965, 966 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 782, 780, 965, 966 i.e 1.
3. How can I use the GCD of 782, 780, 965, 966Calculator?
Out the numbers 782, 780, 965, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.