Online GCD Calculator is useful to find the GCD of 218, 798, 248, 242 quickly. Get the easiest ways to solve the greatest common divisor of 218, 798, 248, 242 i.e 2 in different methods as follows.
Given Input numbers are 218, 798, 248, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (218, 798, 248, 242) = 2.
Given numbers are 218, 798, 248, 242
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 218, 798, 248, 242 is 2.
Given numbers are 218, 798, 248, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 798) = 86982
GCD(218, 798) = ( 218 x 798 ) / 86982
= 218 / 798
= 218
Step2:
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
= 2 / 248
= 2
Step3:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
So, Greatest Common Divisor of 218, 798, 248, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 798, 248, 242
The greatest common divisor of numbers 218, 798, 248, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 798, 248, 242 is 2.
1. What is the GCD of 218, 798, 248, 242?
GCD of given numbers 218, 798, 248, 242 is 2
2. How to calculate the greatest common divisor of 218, 798, 248, 242?
We can find the highest common divisor of 218, 798, 248, 242 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 218, 798, 248, 242 i.e 2.
3. How can I use the GCD of 218, 798, 248, 242Calculator?
Out the numbers 218, 798, 248, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.