Online GCD Calculator is useful to find the GCD of 654, 279, 498, 789 quickly. Get the easiest ways to solve the greatest common divisor of 654, 279, 498, 789 i.e 3 in different methods as follows.
Given Input numbers are 654, 279, 498, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (654, 279, 498, 789) = 3.
Given numbers are 654, 279, 498, 789
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 279 are 3 x 3 x 31
Prime factors of 498 are 2 x 3 x 83
Prime factors of 789 are 3 x 263
The highest common occurrence is 31
Therefore, GCD of 654, 279, 498, 789 is 3.
Given numbers are 654, 279, 498, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 279) = 60822
GCD(654, 279) = ( 654 x 279 ) / 60822
= 654 / 279
= 654
Step2:
LCM(3, 498) = 498
GCD(3, 498) = ( 3 x 498 ) / 498
= 3 / 498
= 3
Step3:
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
= 3 / 789
= 3
So, Greatest Common Divisor of 654, 279, 498, 789 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 279, 498, 789
The greatest common divisor of numbers 654, 279, 498, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 279, 498, 789 is 3.
1. What is the GCD of 654, 279, 498, 789?
GCD of given numbers 654, 279, 498, 789 is 3
2. How to calculate the greatest common divisor of 654, 279, 498, 789?
We can find the highest common divisor of 654, 279, 498, 789 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 654, 279, 498, 789 i.e 3.
3. How can I use the GCD of 654, 279, 498, 789Calculator?
Out the numbers 654, 279, 498, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.