Online GCD Calculator is useful to find the GCD of 168, 270, 678, 669 quickly. Get the easiest ways to solve the greatest common divisor of 168, 270, 678, 669 i.e 3 in different methods as follows.
Given Input numbers are 168, 270, 678, 669
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (168, 270, 678, 669) = 3.
Given numbers are 168, 270, 678, 669
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 678 are 2 x 3 x 113
Prime factors of 669 are 3 x 223
The highest common occurrence is 31
Therefore, GCD of 168, 270, 678, 669 is 3.
Given numbers are 168, 270, 678, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 270) = 7560
GCD(168, 270) = ( 168 x 270 ) / 7560
= 168 / 270
= 168
Step2:
LCM(6, 678) = 678
GCD(6, 678) = ( 6 x 678 ) / 678
= 6 / 678
= 6
Step3:
LCM(6, 669) = 1338
GCD(6, 669) = ( 6 x 669 ) / 1338
= 6 / 669
= 6
So, Greatest Common Divisor of 168, 270, 678, 669 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 270, 678, 669
The greatest common divisor of numbers 168, 270, 678, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 270, 678, 669 is 3.
1. What is the GCD of 168, 270, 678, 669?
GCD of given numbers 168, 270, 678, 669 is 3
2. How to calculate the greatest common divisor of 168, 270, 678, 669?
We can find the highest common divisor of 168, 270, 678, 669 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 168, 270, 678, 669 i.e 3.
3. How can I use the GCD of 168, 270, 678, 669Calculator?
Out the numbers 168, 270, 678, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.