Online GCD Calculator is useful to find the GCD of 414, 698, 482, 216 quickly. Get the easiest ways to solve the greatest common divisor of 414, 698, 482, 216 i.e 2 in different methods as follows.
Given Input numbers are 414, 698, 482, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
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 (414, 698, 482, 216) = 2.
Given numbers are 414, 698, 482, 216
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 698 are 2 x 349
Prime factors of 482 are 2 x 241
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 414, 698, 482, 216 is 2.
Given numbers are 414, 698, 482, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 698) = 144486
GCD(414, 698) = ( 414 x 698 ) / 144486
= 414 / 698
= 414
Step2:
LCM(2, 482) = 482
GCD(2, 482) = ( 2 x 482 ) / 482
= 2 / 482
= 2
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 414, 698, 482, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 414, 698, 482, 216
The greatest common divisor of numbers 414, 698, 482, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 698, 482, 216 is 2.
1. What is the GCD of 414, 698, 482, 216?
GCD of given numbers 414, 698, 482, 216 is 2
2. How to calculate the greatest common divisor of 414, 698, 482, 216?
We can find the highest common divisor of 414, 698, 482, 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 414, 698, 482, 216 i.e 2.
3. How can I use the GCD of 414, 698, 482, 216Calculator?
Out the numbers 414, 698, 482, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.