Online GCD Calculator is useful to find the GCD of 627, 900, 387, 618 quickly. Get the easiest ways to solve the greatest common divisor of 627, 900, 387, 618 i.e 3 in different methods as follows.
Given Input numbers are 627, 900, 387, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
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 (627, 900, 387, 618) = 3.
Given numbers are 627, 900, 387, 618
The list of prime factors of all numbers are
Prime factors of 627 are 3 x 11 x 19
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 387 are 3 x 3 x 43
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 31
Therefore, GCD of 627, 900, 387, 618 is 3.
Given numbers are 627, 900, 387, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(627, 900) = 188100
GCD(627, 900) = ( 627 x 900 ) / 188100
= 627 / 900
= 627
Step2:
LCM(3, 387) = 387
GCD(3, 387) = ( 3 x 387 ) / 387
= 3 / 387
= 3
Step3:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
So, Greatest Common Divisor of 627, 900, 387, 618 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 627, 900, 387, 618
The greatest common divisor of numbers 627, 900, 387, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 900, 387, 618 is 3.
1. What is the GCD of 627, 900, 387, 618?
GCD of given numbers 627, 900, 387, 618 is 3
2. How to calculate the greatest common divisor of 627, 900, 387, 618?
We can find the highest common divisor of 627, 900, 387, 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 627, 900, 387, 618 i.e 3.
3. How can I use the GCD of 627, 900, 387, 618Calculator?
Out the numbers 627, 900, 387, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.