Online GCD Calculator is useful to find the GCD of 780, 450, 732, 608 quickly. Get the easiest ways to solve the greatest common divisor of 780, 450, 732, 608 i.e 2 in different methods as follows.
Given Input numbers are 780, 450, 732, 608
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 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (780, 450, 732, 608) = 2.
Given numbers are 780, 450, 732, 608
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 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 780, 450, 732, 608 is 2.
Given numbers are 780, 450, 732, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 450) = 11700
GCD(780, 450) = ( 780 x 450 ) / 11700
= 780 / 450
= 780
Step2:
LCM(30, 732) = 3660
GCD(30, 732) = ( 30 x 732 ) / 3660
= 30 / 732
= 30
Step3:
LCM(6, 608) = 1824
GCD(6, 608) = ( 6 x 608 ) / 1824
= 6 / 608
= 6
So, Greatest Common Divisor of 780, 450, 732, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 450, 732, 608
The greatest common divisor of numbers 780, 450, 732, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 450, 732, 608 is 2.
1. What is the GCD of 780, 450, 732, 608?
GCD of given numbers 780, 450, 732, 608 is 2
2. How to calculate the greatest common divisor of 780, 450, 732, 608?
We can find the highest common divisor of 780, 450, 732, 608 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, 450, 732, 608 i.e 2.
3. How can I use the GCD of 780, 450, 732, 608Calculator?
Out the numbers 780, 450, 732, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.