Online GCD Calculator is useful to find the GCD of 378, 732, 720, 144 quickly. Get the easiest ways to solve the greatest common divisor of 378, 732, 720, 144 i.e 6 in different methods as follows.
Given Input numbers are 378, 732, 720, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (378, 732, 720, 144) = 6.
Given numbers are 378, 732, 720, 144
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 378, 732, 720, 144 is 6.
Given numbers are 378, 732, 720, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 732) = 46116
GCD(378, 732) = ( 378 x 732 ) / 46116
= 378 / 732
= 378
Step2:
LCM(6, 720) = 720
GCD(6, 720) = ( 6 x 720 ) / 720
= 6 / 720
= 6
Step3:
LCM(6, 144) = 144
GCD(6, 144) = ( 6 x 144 ) / 144
= 6 / 144
= 6
So, Greatest Common Divisor of 378, 732, 720, 144 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 732, 720, 144
The greatest common divisor of numbers 378, 732, 720, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 732, 720, 144 is 6.
1. What is the GCD of 378, 732, 720, 144?
GCD of given numbers 378, 732, 720, 144 is 6
2. How to calculate the greatest common divisor of 378, 732, 720, 144?
We can find the highest common divisor of 378, 732, 720, 144 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 378, 732, 720, 144 i.e 6.
3. How can I use the GCD of 378, 732, 720, 144Calculator?
Out the numbers 378, 732, 720, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.