Online GCD Calculator is useful to find the GCD of 600, 780, 856, 776 quickly. Get the easiest ways to solve the greatest common divisor of 600, 780, 856, 776 i.e 4 in different methods as follows.
Given Input numbers are 600, 780, 856, 776
In the factoring method, we have to find the divisors of all numbers
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
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 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
GCD of numbers is the greatest common divisor
So, the GCD (600, 780, 856, 776) = 4.
Given numbers are 600, 780, 856, 776
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 776 are 2 x 2 x 2 x 97
The highest common occurrence is 22
Therefore, GCD of 600, 780, 856, 776 is 4.
Given numbers are 600, 780, 856, 776
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 780) = 7800
GCD(600, 780) = ( 600 x 780 ) / 7800
= 600 / 780
= 600
Step2:
LCM(60, 856) = 12840
GCD(60, 856) = ( 60 x 856 ) / 12840
= 60 / 856
= 60
Step3:
LCM(4, 776) = 776
GCD(4, 776) = ( 4 x 776 ) / 776
= 4 / 776
= 4
So, Greatest Common Divisor of 600, 780, 856, 776 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 780, 856, 776
The greatest common divisor of numbers 600, 780, 856, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 780, 856, 776 is 4.
1. What is the GCD of 600, 780, 856, 776?
GCD of given numbers 600, 780, 856, 776 is 4
2. How to calculate the greatest common divisor of 600, 780, 856, 776?
We can find the highest common divisor of 600, 780, 856, 776 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 600, 780, 856, 776 i.e 4.
3. How can I use the GCD of 600, 780, 856, 776Calculator?
Out the numbers 600, 780, 856, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.