Online GCD Calculator is useful to find the GCD of 313, 660, 931, 144 quickly. Get the easiest ways to solve the greatest common divisor of 313, 660, 931, 144 i.e 1 in different methods as follows.
Given Input numbers are 313, 660, 931, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (313, 660, 931, 144) = 1.
Given numbers are 313, 660, 931, 144
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 931 are 7 x 7 x 19
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 660, 931, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 660) = 206580
GCD(313, 660) = ( 313 x 660 ) / 206580
= 313 / 660
= 313
Step2:
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
= 1 / 931
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 313, 660, 931, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 660, 931, 144
The greatest common divisor of numbers 313, 660, 931, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 660, 931, 144 is 1.
1. What is the GCD of 313, 660, 931, 144?
GCD of given numbers 313, 660, 931, 144 is 1
2. How to calculate the greatest common divisor of 313, 660, 931, 144?
We can find the highest common divisor of 313, 660, 931, 144 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 313, 660, 931, 144 i.e 1.
3. How can I use the GCD of 313, 660, 931, 144Calculator?
Out the numbers 313, 660, 931, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.