Online GCD Calculator is useful to find the GCD of 313, 300, 687, 427 quickly. Get the easiest ways to solve the greatest common divisor of 313, 300, 687, 427 i.e 1 in different methods as follows.
Given Input numbers are 313, 300, 687, 427
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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
GCD of numbers is the greatest common divisor
So, the GCD (313, 300, 687, 427) = 1.
Given numbers are 313, 300, 687, 427
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 687 are 3 x 229
Prime factors of 427 are 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 300, 687, 427
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 300) = 93900
GCD(313, 300) = ( 313 x 300 ) / 93900
= 313 / 300
= 313
Step2:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
Step3:
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
= 1 / 427
= 1
So, Greatest Common Divisor of 313, 300, 687, 427 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 300, 687, 427
The greatest common divisor of numbers 313, 300, 687, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 300, 687, 427 is 1.
1. What is the GCD of 313, 300, 687, 427?
GCD of given numbers 313, 300, 687, 427 is 1
2. How to calculate the greatest common divisor of 313, 300, 687, 427?
We can find the highest common divisor of 313, 300, 687, 427 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, 300, 687, 427 i.e 1.
3. How can I use the GCD of 313, 300, 687, 427Calculator?
Out the numbers 313, 300, 687, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.