Online GCD Calculator is useful to find the GCD of 306, 130, 618, 746 quickly. Get the easiest ways to solve the greatest common divisor of 306, 130, 618, 746 i.e 2 in different methods as follows.
Given Input numbers are 306, 130, 618, 746
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (306, 130, 618, 746) = 2.
Given numbers are 306, 130, 618, 746
The list of prime factors of all numbers are
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 130 are 2 x 5 x 13
Prime factors of 618 are 2 x 3 x 103
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 306, 130, 618, 746 is 2.
Given numbers are 306, 130, 618, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(306, 130) = 19890
GCD(306, 130) = ( 306 x 130 ) / 19890
= 306 / 130
= 306
Step2:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 306, 130, 618, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 306, 130, 618, 746
The greatest common divisor of numbers 306, 130, 618, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 130, 618, 746 is 2.
1. What is the GCD of 306, 130, 618, 746?
GCD of given numbers 306, 130, 618, 746 is 2
2. How to calculate the greatest common divisor of 306, 130, 618, 746?
We can find the highest common divisor of 306, 130, 618, 746 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 306, 130, 618, 746 i.e 2.
3. How can I use the GCD of 306, 130, 618, 746Calculator?
Out the numbers 306, 130, 618, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.