Online GCD Calculator is useful to find the GCD of 780, 184, 542, 956 quickly. Get the easiest ways to solve the greatest common divisor of 780, 184, 542, 956 i.e 2 in different methods as follows.
Given Input numbers are 780, 184, 542, 956
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 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (780, 184, 542, 956) = 2.
Given numbers are 780, 184, 542, 956
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 184 are 2 x 2 x 2 x 23
Prime factors of 542 are 2 x 271
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 21
Therefore, GCD of 780, 184, 542, 956 is 2.
Given numbers are 780, 184, 542, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 184) = 35880
GCD(780, 184) = ( 780 x 184 ) / 35880
= 780 / 184
= 780
Step2:
LCM(4, 542) = 1084
GCD(4, 542) = ( 4 x 542 ) / 1084
= 4 / 542
= 4
Step3:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
So, Greatest Common Divisor of 780, 184, 542, 956 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 184, 542, 956
The greatest common divisor of numbers 780, 184, 542, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 184, 542, 956 is 2.
1. What is the GCD of 780, 184, 542, 956?
GCD of given numbers 780, 184, 542, 956 is 2
2. How to calculate the greatest common divisor of 780, 184, 542, 956?
We can find the highest common divisor of 780, 184, 542, 956 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, 184, 542, 956 i.e 2.
3. How can I use the GCD of 780, 184, 542, 956Calculator?
Out the numbers 780, 184, 542, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.