Online GCD Calculator is useful to find the GCD of 370, 132, 618, 306 quickly. Get the easiest ways to solve the greatest common divisor of 370, 132, 618, 306 i.e 2 in different methods as follows.
Given Input numbers are 370, 132, 618, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
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
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (370, 132, 618, 306) = 2.
Given numbers are 370, 132, 618, 306
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 618 are 2 x 3 x 103
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 370, 132, 618, 306 is 2.
Given numbers are 370, 132, 618, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 132) = 24420
GCD(370, 132) = ( 370 x 132 ) / 24420
= 370 / 132
= 370
Step2:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
Step3:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
So, Greatest Common Divisor of 370, 132, 618, 306 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 132, 618, 306
The greatest common divisor of numbers 370, 132, 618, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 132, 618, 306 is 2.
1. What is the GCD of 370, 132, 618, 306?
GCD of given numbers 370, 132, 618, 306 is 2
2. How to calculate the greatest common divisor of 370, 132, 618, 306?
We can find the highest common divisor of 370, 132, 618, 306 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 370, 132, 618, 306 i.e 2.
3. How can I use the GCD of 370, 132, 618, 306Calculator?
Out the numbers 370, 132, 618, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.