Online GCD Calculator is useful to find the GCD of 780, 984, 590, 940 quickly. Get the easiest ways to solve the greatest common divisor of 780, 984, 590, 940 i.e 2 in different methods as follows.
Given Input numbers are 780, 984, 590, 940
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
GCD of numbers is the greatest common divisor
So, the GCD (780, 984, 590, 940) = 2.
Given numbers are 780, 984, 590, 940
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 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 590 are 2 x 5 x 59
Prime factors of 940 are 2 x 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 780, 984, 590, 940 is 2.
Given numbers are 780, 984, 590, 940
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 984) = 63960
GCD(780, 984) = ( 780 x 984 ) / 63960
= 780 / 984
= 780
Step2:
LCM(12, 590) = 3540
GCD(12, 590) = ( 12 x 590 ) / 3540
= 12 / 590
= 12
Step3:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
So, Greatest Common Divisor of 780, 984, 590, 940 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 984, 590, 940
The greatest common divisor of numbers 780, 984, 590, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 984, 590, 940 is 2.
1. What is the GCD of 780, 984, 590, 940?
GCD of given numbers 780, 984, 590, 940 is 2
2. How to calculate the greatest common divisor of 780, 984, 590, 940?
We can find the highest common divisor of 780, 984, 590, 940 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, 984, 590, 940 i.e 2.
3. How can I use the GCD of 780, 984, 590, 940Calculator?
Out the numbers 780, 984, 590, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.