Online GCD Calculator is useful to find the GCD of 216, 296, 658, 678 quickly. Get the easiest ways to solve the greatest common divisor of 216, 296, 658, 678 i.e 2 in different methods as follows.
Given Input numbers are 216, 296, 658, 678
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (216, 296, 658, 678) = 2.
Given numbers are 216, 296, 658, 678
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 658 are 2 x 7 x 47
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 216, 296, 658, 678 is 2.
Given numbers are 216, 296, 658, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 296) = 7992
GCD(216, 296) = ( 216 x 296 ) / 7992
= 216 / 296
= 216
Step2:
LCM(8, 658) = 2632
GCD(8, 658) = ( 8 x 658 ) / 2632
= 8 / 658
= 8
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 216, 296, 658, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 296, 658, 678
The greatest common divisor of numbers 216, 296, 658, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 296, 658, 678 is 2.
1. What is the GCD of 216, 296, 658, 678?
GCD of given numbers 216, 296, 658, 678 is 2
2. How to calculate the greatest common divisor of 216, 296, 658, 678?
We can find the highest common divisor of 216, 296, 658, 678 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 216, 296, 658, 678 i.e 2.
3. How can I use the GCD of 216, 296, 658, 678Calculator?
Out the numbers 216, 296, 658, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.