Online GCD Calculator is useful to find the GCD of 318, 560, 212 quickly. Get the easiest ways to solve the greatest common divisor of 318, 560, 212 i.e 2 in different methods as follows.
Given Input numbers are 318, 560, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (318, 560, 212) = 2.
Given numbers are 318, 560, 212
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 318, 560, 212 is 2.
Given numbers are 318, 560, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 560) = 89040
GCD(318, 560) = ( 318 x 560 ) / 89040
= 318 / 560
= 318
Step2:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 318, 560, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 560, 212
The greatest common divisor of numbers 318, 560, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 560, 212 is 2.
1. What is the GCD of 318, 560, 212?
GCD of given numbers 318, 560, 212 is 2
2. How to calculate the greatest common divisor of 318, 560, 212?
We can find the highest common divisor of 318, 560, 212 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 318, 560, 212 i.e 2.
3. How can I use the GCD of 318, 560, 212Calculator?
Out the numbers 318, 560, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.