Online GCD Calculator is useful to find the GCD of 720, 548, 308 quickly. Get the easiest ways to solve the greatest common divisor of 720, 548, 308 i.e 4 in different methods as follows.
Given Input numbers are 720, 548, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
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 (720, 548, 308) = 4.
Given numbers are 720, 548, 308
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 548 are 2 x 2 x 137
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 720, 548, 308 is 4.
Given numbers are 720, 548, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 548) = 98640
GCD(720, 548) = ( 720 x 548 ) / 98640
= 720 / 548
= 720
Step2:
LCM(4, 308) = 308
GCD(4, 308) = ( 4 x 308 ) / 308
= 4 / 308
= 4
So, Greatest Common Divisor of 720, 548, 308 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 548, 308
The greatest common divisor of numbers 720, 548, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 548, 308 is 4.
1. What is the GCD of 720, 548, 308?
GCD of given numbers 720, 548, 308 is 4
2. How to calculate the greatest common divisor of 720, 548, 308?
We can find the highest common divisor of 720, 548, 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 720, 548, 308 i.e 4.
3. How can I use the GCD of 720, 548, 308Calculator?
Out the numbers 720, 548, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.