Online GCD Calculator is useful to find the GCD of 780, 272, 960, 889 quickly. Get the easiest ways to solve the greatest common divisor of 780, 272, 960, 889 i.e 1 in different methods as follows.
Given Input numbers are 780, 272, 960, 889
In the factoring method, we have to find the divisors of all numbers
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
GCD of numbers is the greatest common divisor
So, the GCD (780, 272, 960, 889) = 1.
Given numbers are 780, 272, 960, 889
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 889 are 7 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 780, 272, 960, 889
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 272) = 53040
GCD(780, 272) = ( 780 x 272 ) / 53040
= 780 / 272
= 780
Step2:
LCM(4, 960) = 960
GCD(4, 960) = ( 4 x 960 ) / 960
= 4 / 960
= 4
Step3:
LCM(4, 889) = 3556
GCD(4, 889) = ( 4 x 889 ) / 3556
= 4 / 889
= 4
So, Greatest Common Divisor of 780, 272, 960, 889 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 272, 960, 889
The greatest common divisor of numbers 780, 272, 960, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 272, 960, 889 is 1.
1. What is the GCD of 780, 272, 960, 889?
GCD of given numbers 780, 272, 960, 889 is 1
2. How to calculate the greatest common divisor of 780, 272, 960, 889?
We can find the highest common divisor of 780, 272, 960, 889 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 780, 272, 960, 889 i.e 1.
3. How can I use the GCD of 780, 272, 960, 889Calculator?
Out the numbers 780, 272, 960, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.