Online GCD Calculator is useful to find the GCD of 678, 981, 804, 633 quickly. Get the easiest ways to solve the greatest common divisor of 678, 981, 804, 633 i.e 3 in different methods as follows.
Given Input numbers are 678, 981, 804, 633
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
GCD of numbers is the greatest common divisor
So, the GCD (678, 981, 804, 633) = 3.
Given numbers are 678, 981, 804, 633
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 981 are 3 x 3 x 109
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 633 are 3 x 211
The highest common occurrence is 31
Therefore, GCD of 678, 981, 804, 633 is 3.
Given numbers are 678, 981, 804, 633
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 981) = 221706
GCD(678, 981) = ( 678 x 981 ) / 221706
= 678 / 981
= 678
Step2:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
Step3:
LCM(3, 633) = 633
GCD(3, 633) = ( 3 x 633 ) / 633
= 3 / 633
= 3
So, Greatest Common Divisor of 678, 981, 804, 633 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 981, 804, 633
The greatest common divisor of numbers 678, 981, 804, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 981, 804, 633 is 3.
1. What is the GCD of 678, 981, 804, 633?
GCD of given numbers 678, 981, 804, 633 is 3
2. How to calculate the greatest common divisor of 678, 981, 804, 633?
We can find the highest common divisor of 678, 981, 804, 633 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 678, 981, 804, 633 i.e 3.
3. How can I use the GCD of 678, 981, 804, 633Calculator?
Out the numbers 678, 981, 804, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.