Online GCD Calculator is useful to find the GCD of 324, 562, 966, 270 quickly. Get the easiest ways to solve the greatest common divisor of 324, 562, 966, 270 i.e 2 in different methods as follows.
Given Input numbers are 324, 562, 966, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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
GCD of numbers is the greatest common divisor
So, the GCD (324, 562, 966, 270) = 2.
Given numbers are 324, 562, 966, 270
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 562 are 2 x 281
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 324, 562, 966, 270 is 2.
Given numbers are 324, 562, 966, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 562) = 91044
GCD(324, 562) = ( 324 x 562 ) / 91044
= 324 / 562
= 324
Step2:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 324, 562, 966, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 562, 966, 270
The greatest common divisor of numbers 324, 562, 966, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 562, 966, 270 is 2.
1. What is the GCD of 324, 562, 966, 270?
GCD of given numbers 324, 562, 966, 270 is 2
2. How to calculate the greatest common divisor of 324, 562, 966, 270?
We can find the highest common divisor of 324, 562, 966, 270 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 324, 562, 966, 270 i.e 2.
3. How can I use the GCD of 324, 562, 966, 270Calculator?
Out the numbers 324, 562, 966, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.