Online GCD Calculator is useful to find the GCD of 678, 240, 690 quickly. Get the easiest ways to solve the greatest common divisor of 678, 240, 690 i.e 6 in different methods as follows.
Given Input numbers are 678, 240, 690
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (678, 240, 690) = 6.
Given numbers are 678, 240, 690
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21 x 31
Therefore, GCD of 678, 240, 690 is 6.
Given numbers are 678, 240, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 240) = 27120
GCD(678, 240) = ( 678 x 240 ) / 27120
= 678 / 240
= 678
Step2:
LCM(6, 690) = 690
GCD(6, 690) = ( 6 x 690 ) / 690
= 6 / 690
= 6
So, Greatest Common Divisor of 678, 240, 690 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 240, 690
The greatest common divisor of numbers 678, 240, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 240, 690 is 6.
1. What is the GCD of 678, 240, 690?
GCD of given numbers 678, 240, 690 is 6
2. How to calculate the greatest common divisor of 678, 240, 690?
We can find the highest common divisor of 678, 240, 690 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, 240, 690 i.e 6.
3. How can I use the GCD of 678, 240, 690Calculator?
Out the numbers 678, 240, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.