Online GCD Calculator is useful to find the GCD of 984, 492, 780, 687 quickly. Get the easiest ways to solve the greatest common divisor of 984, 492, 780, 687 i.e 3 in different methods as follows.
Given Input numbers are 984, 492, 780, 687
In the factoring method, we have to find the divisors of all numbers
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 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
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 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (984, 492, 780, 687) = 3.
Given numbers are 984, 492, 780, 687
The list of prime factors of all numbers are
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 687 are 3 x 229
The highest common occurrence is 31
Therefore, GCD of 984, 492, 780, 687 is 3.
Given numbers are 984, 492, 780, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 492) = 984
GCD(984, 492) = ( 984 x 492 ) / 984
= 984 / 492
= 984
Step2:
LCM(492, 780) = 31980
GCD(492, 780) = ( 492 x 780 ) / 31980
= 492 / 780
= 492
Step3:
LCM(12, 687) = 2748
GCD(12, 687) = ( 12 x 687 ) / 2748
= 12 / 687
= 12
So, Greatest Common Divisor of 984, 492, 780, 687 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 492, 780, 687
The greatest common divisor of numbers 984, 492, 780, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 492, 780, 687 is 3.
1. What is the GCD of 984, 492, 780, 687?
GCD of given numbers 984, 492, 780, 687 is 3
2. How to calculate the greatest common divisor of 984, 492, 780, 687?
We can find the highest common divisor of 984, 492, 780, 687 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 984, 492, 780, 687 i.e 3.
3. How can I use the GCD of 984, 492, 780, 687Calculator?
Out the numbers 984, 492, 780, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.