Online GCD Calculator is useful to find the GCD of 548, 248, 784, 168 quickly. Get the easiest ways to solve the greatest common divisor of 548, 248, 784, 168 i.e 4 in different methods as follows.
Given Input numbers are 548, 248, 784, 168
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 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (548, 248, 784, 168) = 4.
Given numbers are 548, 248, 784, 168
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 548, 248, 784, 168 is 4.
Given numbers are 548, 248, 784, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 248) = 33976
GCD(548, 248) = ( 548 x 248 ) / 33976
= 548 / 248
= 548
Step2:
LCM(4, 784) = 784
GCD(4, 784) = ( 4 x 784 ) / 784
= 4 / 784
= 4
Step3:
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
= 4 / 168
= 4
So, Greatest Common Divisor of 548, 248, 784, 168 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 248, 784, 168
The greatest common divisor of numbers 548, 248, 784, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 248, 784, 168 is 4.
1. What is the GCD of 548, 248, 784, 168?
GCD of given numbers 548, 248, 784, 168 is 4
2. How to calculate the greatest common divisor of 548, 248, 784, 168?
We can find the highest common divisor of 548, 248, 784, 168 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, 248, 784, 168 i.e 4.
3. How can I use the GCD of 548, 248, 784, 168Calculator?
Out the numbers 548, 248, 784, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.