Online GCD Calculator is useful to find the GCD of 145, 728, 148, 745 quickly. Get the easiest ways to solve the greatest common divisor of 145, 728, 148, 745 i.e 1 in different methods as follows.
Given Input numbers are 145, 728, 148, 745
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (145, 728, 148, 745) = 1.
Given numbers are 145, 728, 148, 745
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 148 are 2 x 2 x 37
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 728, 148, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 728) = 105560
GCD(145, 728) = ( 145 x 728 ) / 105560
= 145 / 728
= 145
Step2:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 145, 728, 148, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 728, 148, 745
The greatest common divisor of numbers 145, 728, 148, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 728, 148, 745 is 1.
1. What is the GCD of 145, 728, 148, 745?
GCD of given numbers 145, 728, 148, 745 is 1
2. How to calculate the greatest common divisor of 145, 728, 148, 745?
We can find the highest common divisor of 145, 728, 148, 745 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 145, 728, 148, 745 i.e 1.
3. How can I use the GCD of 145, 728, 148, 745Calculator?
Out the numbers 145, 728, 148, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.