Online GCD Calculator is useful to find the GCD of 788, 780, 600 quickly. Get the easiest ways to solve the greatest common divisor of 788, 780, 600 i.e 4 in different methods as follows.
Given Input numbers are 788, 780, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (788, 780, 600) = 4.
Given numbers are 788, 780, 600
The list of prime factors of all numbers are
Prime factors of 788 are 2 x 2 x 197
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 788, 780, 600 is 4.
Given numbers are 788, 780, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(788, 780) = 153660
GCD(788, 780) = ( 788 x 780 ) / 153660
= 788 / 780
= 788
Step2:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
So, Greatest Common Divisor of 788, 780, 600 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 788, 780, 600
The greatest common divisor of numbers 788, 780, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 780, 600 is 4.
1. What is the GCD of 788, 780, 600?
GCD of given numbers 788, 780, 600 is 4
2. How to calculate the greatest common divisor of 788, 780, 600?
We can find the highest common divisor of 788, 780, 600 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 788, 780, 600 i.e 4.
3. How can I use the GCD of 788, 780, 600Calculator?
Out the numbers 788, 780, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.