Online GCD Calculator is useful to find the GCD of 432, 705, 627, 618 quickly. Get the easiest ways to solve the greatest common divisor of 432, 705, 627, 618 i.e 3 in different methods as follows.
Given Input numbers are 432, 705, 627, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
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 (432, 705, 627, 618) = 3.
Given numbers are 432, 705, 627, 618
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 705 are 3 x 5 x 47
Prime factors of 627 are 3 x 11 x 19
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 31
Therefore, GCD of 432, 705, 627, 618 is 3.
Given numbers are 432, 705, 627, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 705) = 101520
GCD(432, 705) = ( 432 x 705 ) / 101520
= 432 / 705
= 432
Step2:
LCM(3, 627) = 627
GCD(3, 627) = ( 3 x 627 ) / 627
= 3 / 627
= 3
Step3:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
So, Greatest Common Divisor of 432, 705, 627, 618 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 705, 627, 618
The greatest common divisor of numbers 432, 705, 627, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 705, 627, 618 is 3.
1. What is the GCD of 432, 705, 627, 618?
GCD of given numbers 432, 705, 627, 618 is 3
2. How to calculate the greatest common divisor of 432, 705, 627, 618?
We can find the highest common divisor of 432, 705, 627, 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 432, 705, 627, 618 i.e 3.
3. How can I use the GCD of 432, 705, 627, 618Calculator?
Out the numbers 432, 705, 627, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.