Online GCD Calculator is useful to find the GCD of 505, 143, 45, 313 quickly. Get the easiest ways to solve the greatest common divisor of 505, 143, 45, 313 i.e 1 in different methods as follows.
Given Input numbers are 505, 143, 45, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (505, 143, 45, 313) = 1.
Given numbers are 505, 143, 45, 313
The list of prime factors of all numbers are
Prime factors of 505 are 5 x 101
Prime factors of 143 are 11 x 13
Prime factors of 45 are 3 x 3 x 5
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 505, 143, 45, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(505, 143) = 72215
GCD(505, 143) = ( 505 x 143 ) / 72215
= 505 / 143
= 505
Step2:
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
= 1 / 45
= 1
Step3:
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
= 1 / 313
= 1
So, Greatest Common Divisor of 505, 143, 45, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 505, 143, 45, 313
The greatest common divisor of numbers 505, 143, 45, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 143, 45, 313 is 1.
1. What is the GCD of 505, 143, 45, 313?
GCD of given numbers 505, 143, 45, 313 is 1
2. How to calculate the greatest common divisor of 505, 143, 45, 313?
We can find the highest common divisor of 505, 143, 45, 313 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 505, 143, 45, 313 i.e 1.
3. How can I use the GCD of 505, 143, 45, 313Calculator?
Out the numbers 505, 143, 45, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.