Online GCD Calculator is useful to find the GCD of 386, 918, 564, 132 quickly. Get the easiest ways to solve the greatest common divisor of 386, 918, 564, 132 i.e 2 in different methods as follows.
Given Input numbers are 386, 918, 564, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (386, 918, 564, 132) = 2.
Given numbers are 386, 918, 564, 132
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 386, 918, 564, 132 is 2.
Given numbers are 386, 918, 564, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 918) = 177174
GCD(386, 918) = ( 386 x 918 ) / 177174
= 386 / 918
= 386
Step2:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 386, 918, 564, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 918, 564, 132
The greatest common divisor of numbers 386, 918, 564, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 918, 564, 132 is 2.
1. What is the GCD of 386, 918, 564, 132?
GCD of given numbers 386, 918, 564, 132 is 2
2. How to calculate the greatest common divisor of 386, 918, 564, 132?
We can find the highest common divisor of 386, 918, 564, 132 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 386, 918, 564, 132 i.e 2.
3. How can I use the GCD of 386, 918, 564, 132Calculator?
Out the numbers 386, 918, 564, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.