Online GCD Calculator is useful to find the GCD of 984, 798, 48, 486 quickly. Get the easiest ways to solve the greatest common divisor of 984, 798, 48, 486 i.e 6 in different methods as follows.
Given Input numbers are 984, 798, 48, 486
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 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (984, 798, 48, 486) = 6.
Given numbers are 984, 798, 48, 486
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 798 are 2 x 3 x 7 x 19
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 984, 798, 48, 486 is 6.
Given numbers are 984, 798, 48, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(984, 798) = 130872
GCD(984, 798) = ( 984 x 798 ) / 130872
= 984 / 798
= 984
Step2:
LCM(6, 48) = 48
GCD(6, 48) = ( 6 x 48 ) / 48
= 6 / 48
= 6
Step3:
LCM(6, 486) = 486
GCD(6, 486) = ( 6 x 486 ) / 486
= 6 / 486
= 6
So, Greatest Common Divisor of 984, 798, 48, 486 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 984, 798, 48, 486
The greatest common divisor of numbers 984, 798, 48, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 798, 48, 486 is 6.
1. What is the GCD of 984, 798, 48, 486?
GCD of given numbers 984, 798, 48, 486 is 6
2. How to calculate the greatest common divisor of 984, 798, 48, 486?
We can find the highest common divisor of 984, 798, 48, 486 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, 798, 48, 486 i.e 6.
3. How can I use the GCD of 984, 798, 48, 486Calculator?
Out the numbers 984, 798, 48, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.