Online GCD Calculator is useful to find the GCD of 548, 348, 952, 176 quickly. Get the easiest ways to solve the greatest common divisor of 548, 348, 952, 176 i.e 4 in different methods as follows.
Given Input numbers are 548, 348, 952, 176
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 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (548, 348, 952, 176) = 4.
Given numbers are 548, 348, 952, 176
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 22
Therefore, GCD of 548, 348, 952, 176 is 4.
Given numbers are 548, 348, 952, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 348) = 47676
GCD(548, 348) = ( 548 x 348 ) / 47676
= 548 / 348
= 548
Step2:
LCM(4, 952) = 952
GCD(4, 952) = ( 4 x 952 ) / 952
= 4 / 952
= 4
Step3:
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
= 4 / 176
= 4
So, Greatest Common Divisor of 548, 348, 952, 176 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 348, 952, 176
The greatest common divisor of numbers 548, 348, 952, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 348, 952, 176 is 4.
1. What is the GCD of 548, 348, 952, 176?
GCD of given numbers 548, 348, 952, 176 is 4
2. How to calculate the greatest common divisor of 548, 348, 952, 176?
We can find the highest common divisor of 548, 348, 952, 176 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, 348, 952, 176 i.e 4.
3. How can I use the GCD of 548, 348, 952, 176Calculator?
Out the numbers 548, 348, 952, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.