Online GCD Calculator is useful to find the GCD of 780, 900, 928, 966 quickly. Get the easiest ways to solve the greatest common divisor of 780, 900, 928, 966 i.e 2 in different methods as follows.
Given Input numbers are 780, 900, 928, 966
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 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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 (780, 900, 928, 966) = 2.
Given numbers are 780, 900, 928, 966
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 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 780, 900, 928, 966 is 2.
Given numbers are 780, 900, 928, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 900) = 11700
GCD(780, 900) = ( 780 x 900 ) / 11700
= 780 / 900
= 780
Step2:
LCM(60, 928) = 13920
GCD(60, 928) = ( 60 x 928 ) / 13920
= 60 / 928
= 60
Step3:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
So, Greatest Common Divisor of 780, 900, 928, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 900, 928, 966
The greatest common divisor of numbers 780, 900, 928, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 900, 928, 966 is 2.
1. What is the GCD of 780, 900, 928, 966?
GCD of given numbers 780, 900, 928, 966 is 2
2. How to calculate the greatest common divisor of 780, 900, 928, 966?
We can find the highest common divisor of 780, 900, 928, 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 780, 900, 928, 966 i.e 2.
3. How can I use the GCD of 780, 900, 928, 966Calculator?
Out the numbers 780, 900, 928, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.