Online GCD Calculator is useful to find the GCD of 360, 548, 386, 448 quickly. Get the easiest ways to solve the greatest common divisor of 360, 548, 386, 448 i.e 2 in different methods as follows.
Given Input numbers are 360, 548, 386, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (360, 548, 386, 448) = 2.
Given numbers are 360, 548, 386, 448
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 548 are 2 x 2 x 137
Prime factors of 386 are 2 x 193
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 360, 548, 386, 448 is 2.
Given numbers are 360, 548, 386, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 548) = 49320
GCD(360, 548) = ( 360 x 548 ) / 49320
= 360 / 548
= 360
Step2:
LCM(4, 386) = 772
GCD(4, 386) = ( 4 x 386 ) / 772
= 4 / 386
= 4
Step3:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
So, Greatest Common Divisor of 360, 548, 386, 448 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 548, 386, 448
The greatest common divisor of numbers 360, 548, 386, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 548, 386, 448 is 2.
1. What is the GCD of 360, 548, 386, 448?
GCD of given numbers 360, 548, 386, 448 is 2
2. How to calculate the greatest common divisor of 360, 548, 386, 448?
We can find the highest common divisor of 360, 548, 386, 448 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 360, 548, 386, 448 i.e 2.
3. How can I use the GCD of 360, 548, 386, 448Calculator?
Out the numbers 360, 548, 386, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.