Online GCD Calculator is useful to find the GCD of 780, 452, 928, 738 quickly. Get the easiest ways to solve the greatest common divisor of 780, 452, 928, 738 i.e 2 in different methods as follows.
Given Input numbers are 780, 452, 928, 738
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (780, 452, 928, 738) = 2.
Given numbers are 780, 452, 928, 738
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 452 are 2 x 2 x 113
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21
Therefore, GCD of 780, 452, 928, 738 is 2.
Given numbers are 780, 452, 928, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 452) = 88140
GCD(780, 452) = ( 780 x 452 ) / 88140
= 780 / 452
= 780
Step2:
LCM(4, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
= 4 / 928
= 4
Step3:
LCM(4, 738) = 1476
GCD(4, 738) = ( 4 x 738 ) / 1476
= 4 / 738
= 4
So, Greatest Common Divisor of 780, 452, 928, 738 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 452, 928, 738
The greatest common divisor of numbers 780, 452, 928, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 452, 928, 738 is 2.
1. What is the GCD of 780, 452, 928, 738?
GCD of given numbers 780, 452, 928, 738 is 2
2. How to calculate the greatest common divisor of 780, 452, 928, 738?
We can find the highest common divisor of 780, 452, 928, 738 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, 452, 928, 738 i.e 2.
3. How can I use the GCD of 780, 452, 928, 738Calculator?
Out the numbers 780, 452, 928, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.