Online GCD Calculator is useful to find the GCD of 450, 736, 618, 336 quickly. Get the easiest ways to solve the greatest common divisor of 450, 736, 618, 336 i.e 2 in different methods as follows.
Given Input numbers are 450, 736, 618, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (450, 736, 618, 336) = 2.
Given numbers are 450, 736, 618, 336
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 618 are 2 x 3 x 103
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 450, 736, 618, 336 is 2.
Given numbers are 450, 736, 618, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 736) = 165600
GCD(450, 736) = ( 450 x 736 ) / 165600
= 450 / 736
= 450
Step2:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 450, 736, 618, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 736, 618, 336
The greatest common divisor of numbers 450, 736, 618, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 736, 618, 336 is 2.
1. What is the GCD of 450, 736, 618, 336?
GCD of given numbers 450, 736, 618, 336 is 2
2. How to calculate the greatest common divisor of 450, 736, 618, 336?
We can find the highest common divisor of 450, 736, 618, 336 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 450, 736, 618, 336 i.e 2.
3. How can I use the GCD of 450, 736, 618, 336Calculator?
Out the numbers 450, 736, 618, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.