Online GCD Calculator is useful to find the GCD of 918, 314, 213, 106 quickly. Get the easiest ways to solve the greatest common divisor of 918, 314, 213, 106 i.e 1 in different methods as follows.
Given Input numbers are 918, 314, 213, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (918, 314, 213, 106) = 1.
Given numbers are 918, 314, 213, 106
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 314 are 2 x 157
Prime factors of 213 are 3 x 71
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 918, 314, 213, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 314) = 144126
GCD(918, 314) = ( 918 x 314 ) / 144126
= 918 / 314
= 918
Step2:
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
= 2 / 213
= 2
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 918, 314, 213, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 314, 213, 106
The greatest common divisor of numbers 918, 314, 213, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 314, 213, 106 is 1.
1. What is the GCD of 918, 314, 213, 106?
GCD of given numbers 918, 314, 213, 106 is 1
2. How to calculate the greatest common divisor of 918, 314, 213, 106?
We can find the highest common divisor of 918, 314, 213, 106 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 918, 314, 213, 106 i.e 1.
3. How can I use the GCD of 918, 314, 213, 106Calculator?
Out the numbers 918, 314, 213, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.