Online GCD Calculator is useful to find the GCD of 248, 918, 214, 222 quickly. Get the easiest ways to solve the greatest common divisor of 248, 918, 214, 222 i.e 2 in different methods as follows.
Given Input numbers are 248, 918, 214, 222
In the factoring method, we have to find the divisors of all numbers
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (248, 918, 214, 222) = 2.
Given numbers are 248, 918, 214, 222
The list of prime factors of all numbers are
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 214 are 2 x 107
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 248, 918, 214, 222 is 2.
Given numbers are 248, 918, 214, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(248, 918) = 113832
GCD(248, 918) = ( 248 x 918 ) / 113832
= 248 / 918
= 248
Step2:
LCM(2, 214) = 214
GCD(2, 214) = ( 2 x 214 ) / 214
= 2 / 214
= 2
Step3:
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
= 2 / 222
= 2
So, Greatest Common Divisor of 248, 918, 214, 222 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 248, 918, 214, 222
The greatest common divisor of numbers 248, 918, 214, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 918, 214, 222 is 2.
1. What is the GCD of 248, 918, 214, 222?
GCD of given numbers 248, 918, 214, 222 is 2
2. How to calculate the greatest common divisor of 248, 918, 214, 222?
We can find the highest common divisor of 248, 918, 214, 222 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 248, 918, 214, 222 i.e 2.
3. How can I use the GCD of 248, 918, 214, 222Calculator?
Out the numbers 248, 918, 214, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.