Online GCD Calculator is useful to find the GCD of 668, 748, 942, 216 quickly. Get the easiest ways to solve the greatest common divisor of 668, 748, 942, 216 i.e 2 in different methods as follows.
Given Input numbers are 668, 748, 942, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
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 (668, 748, 942, 216) = 2.
Given numbers are 668, 748, 942, 216
The list of prime factors of all numbers are
Prime factors of 668 are 2 x 2 x 167
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 942 are 2 x 3 x 157
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 668, 748, 942, 216 is 2.
Given numbers are 668, 748, 942, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(668, 748) = 124916
GCD(668, 748) = ( 668 x 748 ) / 124916
= 668 / 748
= 668
Step2:
LCM(4, 942) = 1884
GCD(4, 942) = ( 4 x 942 ) / 1884
= 4 / 942
= 4
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 668, 748, 942, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 668, 748, 942, 216
The greatest common divisor of numbers 668, 748, 942, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 748, 942, 216 is 2.
1. What is the GCD of 668, 748, 942, 216?
GCD of given numbers 668, 748, 942, 216 is 2
2. How to calculate the greatest common divisor of 668, 748, 942, 216?
We can find the highest common divisor of 668, 748, 942, 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 668, 748, 942, 216 i.e 2.
3. How can I use the GCD of 668, 748, 942, 216Calculator?
Out the numbers 668, 748, 942, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.