Online GCD Calculator is useful to find the GCD of 45, 72, 14, 44 quickly. Get the easiest ways to solve the greatest common divisor of 45, 72, 14, 44 i.e 1 in different methods as follows.
Given Input numbers are 45, 72, 14, 44
In the factoring method, we have to find the divisors of all numbers
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 44 :
The positive integer divisors of 44 that completely divides 44 are.
1, 2, 4, 11, 22, 44
GCD of numbers is the greatest common divisor
So, the GCD (45, 72, 14, 44) = 1.
Given numbers are 45, 72, 14, 44
The list of prime factors of all numbers are
Prime factors of 45 are 3 x 3 x 5
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 14 are 2 x 7
Prime factors of 44 are 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 45, 72, 14, 44
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(45, 72) = 360
GCD(45, 72) = ( 45 x 72 ) / 360
= 45 / 72
= 45
Step2:
LCM(9, 14) = 126
GCD(9, 14) = ( 9 x 14 ) / 126
= 9 / 14
= 9
Step3:
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
= 1 / 44
= 1
So, Greatest Common Divisor of 45, 72, 14, 44 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 45, 72, 14, 44
The greatest common divisor of numbers 45, 72, 14, 44 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 45, 72, 14, 44 is 1.
1. What is the GCD of 45, 72, 14, 44?
GCD of given numbers 45, 72, 14, 44 is 1
2. How to calculate the greatest common divisor of 45, 72, 14, 44?
We can find the highest common divisor of 45, 72, 14, 44 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 45, 72, 14, 44 i.e 1.
3. How can I use the GCD of 45, 72, 14, 44Calculator?
Out the numbers 45, 72, 14, 44 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.