Online GCD Calculator is useful to find the GCD of 744, 945, 329, 720 quickly. Get the easiest ways to solve the greatest common divisor of 744, 945, 329, 720 i.e 1 in different methods as follows.
Given Input numbers are 744, 945, 329, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 329 :
The positive integer divisors of 329 that completely divides 329 are.
1, 7, 47, 329
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
GCD of numbers is the greatest common divisor
So, the GCD (744, 945, 329, 720) = 1.
Given numbers are 744, 945, 329, 720
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 329 are 7 x 47
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 744, 945, 329, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 945) = 234360
GCD(744, 945) = ( 744 x 945 ) / 234360
= 744 / 945
= 744
Step2:
LCM(3, 329) = 987
GCD(3, 329) = ( 3 x 329 ) / 987
= 3 / 329
= 3
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 744, 945, 329, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 744, 945, 329, 720
The greatest common divisor of numbers 744, 945, 329, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 945, 329, 720 is 1.
1. What is the GCD of 744, 945, 329, 720?
GCD of given numbers 744, 945, 329, 720 is 1
2. How to calculate the greatest common divisor of 744, 945, 329, 720?
We can find the highest common divisor of 744, 945, 329, 720 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 744, 945, 329, 720 i.e 1.
3. How can I use the GCD of 744, 945, 329, 720Calculator?
Out the numbers 744, 945, 329, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.