Online GCD Calculator is useful to find the GCD of 145, 116, 744, 909 quickly. Get the easiest ways to solve the greatest common divisor of 145, 116, 744, 909 i.e 1 in different methods as follows.
Given Input numbers are 145, 116, 744, 909
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
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 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (145, 116, 744, 909) = 1.
Given numbers are 145, 116, 744, 909
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 116 are 2 x 2 x 29
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 116, 744, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 116) = 580
GCD(145, 116) = ( 145 x 116 ) / 580
= 145 / 116
= 145
Step2:
LCM(29, 744) = 21576
GCD(29, 744) = ( 29 x 744 ) / 21576
= 29 / 744
= 29
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 145, 116, 744, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 116, 744, 909
The greatest common divisor of numbers 145, 116, 744, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 116, 744, 909 is 1.
1. What is the GCD of 145, 116, 744, 909?
GCD of given numbers 145, 116, 744, 909 is 1
2. How to calculate the greatest common divisor of 145, 116, 744, 909?
We can find the highest common divisor of 145, 116, 744, 909 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, 116, 744, 909 i.e 1.
3. How can I use the GCD of 145, 116, 744, 909Calculator?
Out the numbers 145, 116, 744, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.