Online GCD Calculator is useful to find the GCD of 561, 360, 213 quickly. Get the easiest ways to solve the greatest common divisor of 561, 360, 213 i.e 3 in different methods as follows.
Given Input numbers are 561, 360, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 (561, 360, 213) = 3.
Given numbers are 561, 360, 213
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 561, 360, 213 is 3.
Given numbers are 561, 360, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 360) = 67320
GCD(561, 360) = ( 561 x 360 ) / 67320
= 561 / 360
= 561
Step2:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 561, 360, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 360, 213
The greatest common divisor of numbers 561, 360, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 360, 213 is 3.
1. What is the GCD of 561, 360, 213?
GCD of given numbers 561, 360, 213 is 3
2. How to calculate the greatest common divisor of 561, 360, 213?
We can find the highest common divisor of 561, 360, 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 561, 360, 213 i.e 3.
3. How can I use the GCD of 561, 360, 213Calculator?
Out the numbers 561, 360, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.