Online GCD Calculator is useful to find the GCD of 300, 339, 537, 618 quickly. Get the easiest ways to solve the greatest common divisor of 300, 339, 537, 618 i.e 3 in different methods as follows.
Given Input numbers are 300, 339, 537, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (300, 339, 537, 618) = 3.
Given numbers are 300, 339, 537, 618
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 339 are 3 x 113
Prime factors of 537 are 3 x 179
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 31
Therefore, GCD of 300, 339, 537, 618 is 3.
Given numbers are 300, 339, 537, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 339) = 33900
GCD(300, 339) = ( 300 x 339 ) / 33900
= 300 / 339
= 300
Step2:
LCM(3, 537) = 537
GCD(3, 537) = ( 3 x 537 ) / 537
= 3 / 537
= 3
Step3:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
So, Greatest Common Divisor of 300, 339, 537, 618 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 339, 537, 618
The greatest common divisor of numbers 300, 339, 537, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 339, 537, 618 is 3.
1. What is the GCD of 300, 339, 537, 618?
GCD of given numbers 300, 339, 537, 618 is 3
2. How to calculate the greatest common divisor of 300, 339, 537, 618?
We can find the highest common divisor of 300, 339, 537, 618 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 300, 339, 537, 618 i.e 3.
3. How can I use the GCD of 300, 339, 537, 618Calculator?
Out the numbers 300, 339, 537, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.