Online GCD Calculator is useful to find the GCD of 828, 270, 160, 666 quickly. Get the easiest ways to solve the greatest common divisor of 828, 270, 160, 666 i.e 2 in different methods as follows.
Given Input numbers are 828, 270, 160, 666
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
GCD of numbers is the greatest common divisor
So, the GCD (828, 270, 160, 666) = 2.
Given numbers are 828, 270, 160, 666
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 666 are 2 x 3 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 828, 270, 160, 666 is 2.
Given numbers are 828, 270, 160, 666
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 270) = 12420
GCD(828, 270) = ( 828 x 270 ) / 12420
= 828 / 270
= 828
Step2:
LCM(18, 160) = 1440
GCD(18, 160) = ( 18 x 160 ) / 1440
= 18 / 160
= 18
Step3:
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
= 2 / 666
= 2
So, Greatest Common Divisor of 828, 270, 160, 666 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 270, 160, 666
The greatest common divisor of numbers 828, 270, 160, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 270, 160, 666 is 2.
1. What is the GCD of 828, 270, 160, 666?
GCD of given numbers 828, 270, 160, 666 is 2
2. How to calculate the greatest common divisor of 828, 270, 160, 666?
We can find the highest common divisor of 828, 270, 160, 666 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 828, 270, 160, 666 i.e 2.
3. How can I use the GCD of 828, 270, 160, 666Calculator?
Out the numbers 828, 270, 160, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.