Online GCD Calculator is useful to find the GCD of 786, 784, 580, 200 quickly. Get the easiest ways to solve the greatest common divisor of 786, 784, 580, 200 i.e 2 in different methods as follows.
Given Input numbers are 786, 784, 580, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (786, 784, 580, 200) = 2.
Given numbers are 786, 784, 580, 200
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 786, 784, 580, 200 is 2.
Given numbers are 786, 784, 580, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 784) = 308112
GCD(786, 784) = ( 786 x 784 ) / 308112
= 786 / 784
= 786
Step2:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 786, 784, 580, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 784, 580, 200
The greatest common divisor of numbers 786, 784, 580, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 784, 580, 200 is 2.
1. What is the GCD of 786, 784, 580, 200?
GCD of given numbers 786, 784, 580, 200 is 2
2. How to calculate the greatest common divisor of 786, 784, 580, 200?
We can find the highest common divisor of 786, 784, 580, 200 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 786, 784, 580, 200 i.e 2.
3. How can I use the GCD of 786, 784, 580, 200Calculator?
Out the numbers 786, 784, 580, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.