Online GCD Calculator is useful to find the GCD of 720, 120, 483, 348 quickly. Get the easiest ways to solve the greatest common divisor of 720, 120, 483, 348 i.e 3 in different methods as follows.
Given Input numbers are 720, 120, 483, 348
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 483 :
The positive integer divisors of 483 that completely divides 483 are.
1, 3, 7, 21, 23, 69, 161, 483
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
GCD of numbers is the greatest common divisor
So, the GCD (720, 120, 483, 348) = 3.
Given numbers are 720, 120, 483, 348
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 483 are 3 x 7 x 23
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 720, 120, 483, 348 is 3.
Given numbers are 720, 120, 483, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 120) = 720
GCD(720, 120) = ( 720 x 120 ) / 720
= 720 / 120
= 720
Step2:
LCM(120, 483) = 19320
GCD(120, 483) = ( 120 x 483 ) / 19320
= 120 / 483
= 120
Step3:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
So, Greatest Common Divisor of 720, 120, 483, 348 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 120, 483, 348
The greatest common divisor of numbers 720, 120, 483, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 120, 483, 348 is 3.
1. What is the GCD of 720, 120, 483, 348?
GCD of given numbers 720, 120, 483, 348 is 3
2. How to calculate the greatest common divisor of 720, 120, 483, 348?
We can find the highest common divisor of 720, 120, 483, 348 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, 120, 483, 348 i.e 3.
3. How can I use the GCD of 720, 120, 483, 348Calculator?
Out the numbers 720, 120, 483, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.