Online GCD Calculator is useful to find the GCD of 618, 464, 648, 308 quickly. Get the easiest ways to solve the greatest common divisor of 618, 464, 648, 308 i.e 2 in different methods as follows.
Given Input numbers are 618, 464, 648, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (618, 464, 648, 308) = 2.
Given numbers are 618, 464, 648, 308
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 618, 464, 648, 308 is 2.
Given numbers are 618, 464, 648, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 464) = 143376
GCD(618, 464) = ( 618 x 464 ) / 143376
= 618 / 464
= 618
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
Step3:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
So, Greatest Common Divisor of 618, 464, 648, 308 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 618, 464, 648, 308
The greatest common divisor of numbers 618, 464, 648, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 464, 648, 308 is 2.
1. What is the GCD of 618, 464, 648, 308?
GCD of given numbers 618, 464, 648, 308 is 2
2. How to calculate the greatest common divisor of 618, 464, 648, 308?
We can find the highest common divisor of 618, 464, 648, 308 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 618, 464, 648, 308 i.e 2.
3. How can I use the GCD of 618, 464, 648, 308Calculator?
Out the numbers 618, 464, 648, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.