Online GCD Calculator is useful to find the GCD of 248, 216, 230, 548 quickly. Get the easiest ways to solve the greatest common divisor of 248, 216, 230, 548 i.e 2 in different methods as follows.
Given Input numbers are 248, 216, 230, 548
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 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
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (248, 216, 230, 548) = 2.
Given numbers are 248, 216, 230, 548
The list of prime factors of all numbers are
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 230 are 2 x 5 x 23
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 21
Therefore, GCD of 248, 216, 230, 548 is 2.
Given numbers are 248, 216, 230, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(248, 216) = 6696
GCD(248, 216) = ( 248 x 216 ) / 6696
= 248 / 216
= 248
Step2:
LCM(8, 230) = 920
GCD(8, 230) = ( 8 x 230 ) / 920
= 8 / 230
= 8
Step3:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
So, Greatest Common Divisor of 248, 216, 230, 548 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 248, 216, 230, 548
The greatest common divisor of numbers 248, 216, 230, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 216, 230, 548 is 2.
1. What is the GCD of 248, 216, 230, 548?
GCD of given numbers 248, 216, 230, 548 is 2
2. How to calculate the greatest common divisor of 248, 216, 230, 548?
We can find the highest common divisor of 248, 216, 230, 548 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, 216, 230, 548 i.e 2.
3. How can I use the GCD of 248, 216, 230, 548Calculator?
Out the numbers 248, 216, 230, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.