Online GCD Calculator is useful to find the GCD of 672, 204, 590, 216 quickly. Get the easiest ways to solve the greatest common divisor of 672, 204, 590, 216 i.e 2 in different methods as follows.
Given Input numbers are 672, 204, 590, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (672, 204, 590, 216) = 2.
Given numbers are 672, 204, 590, 216
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 590 are 2 x 5 x 59
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 672, 204, 590, 216 is 2.
Given numbers are 672, 204, 590, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 204) = 11424
GCD(672, 204) = ( 672 x 204 ) / 11424
= 672 / 204
= 672
Step2:
LCM(12, 590) = 3540
GCD(12, 590) = ( 12 x 590 ) / 3540
= 12 / 590
= 12
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 672, 204, 590, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 204, 590, 216
The greatest common divisor of numbers 672, 204, 590, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 204, 590, 216 is 2.
1. What is the GCD of 672, 204, 590, 216?
GCD of given numbers 672, 204, 590, 216 is 2
2. How to calculate the greatest common divisor of 672, 204, 590, 216?
We can find the highest common divisor of 672, 204, 590, 216 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 672, 204, 590, 216 i.e 2.
3. How can I use the GCD of 672, 204, 590, 216Calculator?
Out the numbers 672, 204, 590, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.