Online GCD Calculator is useful to find the GCD of 552, 609, 618, 213 quickly. Get the easiest ways to solve the greatest common divisor of 552, 609, 618, 213 i.e 3 in different methods as follows.
Given Input numbers are 552, 609, 618, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (552, 609, 618, 213) = 3.
Given numbers are 552, 609, 618, 213
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 609 are 3 x 7 x 29
Prime factors of 618 are 2 x 3 x 103
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 552, 609, 618, 213 is 3.
Given numbers are 552, 609, 618, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 609) = 112056
GCD(552, 609) = ( 552 x 609 ) / 112056
= 552 / 609
= 552
Step2:
LCM(3, 618) = 618
GCD(3, 618) = ( 3 x 618 ) / 618
= 3 / 618
= 3
Step3:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 552, 609, 618, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 609, 618, 213
The greatest common divisor of numbers 552, 609, 618, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 609, 618, 213 is 3.
1. What is the GCD of 552, 609, 618, 213?
GCD of given numbers 552, 609, 618, 213 is 3
2. How to calculate the greatest common divisor of 552, 609, 618, 213?
We can find the highest common divisor of 552, 609, 618, 213 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 552, 609, 618, 213 i.e 3.
3. How can I use the GCD of 552, 609, 618, 213Calculator?
Out the numbers 552, 609, 618, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.