Online GCD Calculator is useful to find the GCD of 548, 404, 24, 308 quickly. Get the easiest ways to solve the greatest common divisor of 548, 404, 24, 308 i.e 4 in different methods as follows.
Given Input numbers are 548, 404, 24, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (548, 404, 24, 308) = 4.
Given numbers are 548, 404, 24, 308
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 404 are 2 x 2 x 101
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 548, 404, 24, 308 is 4.
Given numbers are 548, 404, 24, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 404) = 55348
GCD(548, 404) = ( 548 x 404 ) / 55348
= 548 / 404
= 548
Step2:
LCM(4, 24) = 24
GCD(4, 24) = ( 4 x 24 ) / 24
= 4 / 24
= 4
Step3:
LCM(4, 308) = 308
GCD(4, 308) = ( 4 x 308 ) / 308
= 4 / 308
= 4
So, Greatest Common Divisor of 548, 404, 24, 308 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 404, 24, 308
The greatest common divisor of numbers 548, 404, 24, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 404, 24, 308 is 4.
1. What is the GCD of 548, 404, 24, 308?
GCD of given numbers 548, 404, 24, 308 is 4
2. How to calculate the greatest common divisor of 548, 404, 24, 308?
We can find the highest common divisor of 548, 404, 24, 308 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 548, 404, 24, 308 i.e 4.
3. How can I use the GCD of 548, 404, 24, 308Calculator?
Out the numbers 548, 404, 24, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.