Online GCD Calculator is useful to find the GCD of 348, 816, 702, 216 quickly. Get the easiest ways to solve the greatest common divisor of 348, 816, 702, 216 i.e 6 in different methods as follows.
Given Input numbers are 348, 816, 702, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
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 (348, 816, 702, 216) = 6.
Given numbers are 348, 816, 702, 216
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 348, 816, 702, 216 is 6.
Given numbers are 348, 816, 702, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 816) = 23664
GCD(348, 816) = ( 348 x 816 ) / 23664
= 348 / 816
= 348
Step2:
LCM(12, 702) = 1404
GCD(12, 702) = ( 12 x 702 ) / 1404
= 12 / 702
= 12
Step3:
LCM(6, 216) = 216
GCD(6, 216) = ( 6 x 216 ) / 216
= 6 / 216
= 6
So, Greatest Common Divisor of 348, 816, 702, 216 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 816, 702, 216
The greatest common divisor of numbers 348, 816, 702, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 816, 702, 216 is 6.
1. What is the GCD of 348, 816, 702, 216?
GCD of given numbers 348, 816, 702, 216 is 6
2. How to calculate the greatest common divisor of 348, 816, 702, 216?
We can find the highest common divisor of 348, 816, 702, 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 348, 816, 702, 216 i.e 6.
3. How can I use the GCD of 348, 816, 702, 216Calculator?
Out the numbers 348, 816, 702, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.