Online GCD Calculator is useful to find the GCD of 498, 759, 966, 483 quickly. Get the easiest ways to solve the greatest common divisor of 498, 759, 966, 483 i.e 3 in different methods as follows.
Given Input numbers are 498, 759, 966, 483
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
GCD of numbers is the greatest common divisor
So, the GCD (498, 759, 966, 483) = 3.
Given numbers are 498, 759, 966, 483
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 759 are 3 x 11 x 23
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 483 are 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 498, 759, 966, 483 is 3.
Given numbers are 498, 759, 966, 483
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 759) = 125994
GCD(498, 759) = ( 498 x 759 ) / 125994
= 498 / 759
= 498
Step2:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
Step3:
LCM(3, 483) = 483
GCD(3, 483) = ( 3 x 483 ) / 483
= 3 / 483
= 3
So, Greatest Common Divisor of 498, 759, 966, 483 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 759, 966, 483
The greatest common divisor of numbers 498, 759, 966, 483 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 759, 966, 483 is 3.
1. What is the GCD of 498, 759, 966, 483?
GCD of given numbers 498, 759, 966, 483 is 3
2. How to calculate the greatest common divisor of 498, 759, 966, 483?
We can find the highest common divisor of 498, 759, 966, 483 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 498, 759, 966, 483 i.e 3.
3. How can I use the GCD of 498, 759, 966, 483Calculator?
Out the numbers 498, 759, 966, 483 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.