Online GCD Calculator is useful to find the GCD of 313, 683, 614, 142 quickly. Get the easiest ways to solve the greatest common divisor of 313, 683, 614, 142 i.e 1 in different methods as follows.
Given Input numbers are 313, 683, 614, 142
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 683 :
The positive integer divisors of 683 that completely divides 683 are.
1, 683
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (313, 683, 614, 142) = 1.
Given numbers are 313, 683, 614, 142
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 683 are 683
Prime factors of 614 are 2 x 307
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 683, 614, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 683) = 213779
GCD(313, 683) = ( 313 x 683 ) / 213779
= 313 / 683
= 313
Step2:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 313, 683, 614, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 683, 614, 142
The greatest common divisor of numbers 313, 683, 614, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 683, 614, 142 is 1.
1. What is the GCD of 313, 683, 614, 142?
GCD of given numbers 313, 683, 614, 142 is 1
2. How to calculate the greatest common divisor of 313, 683, 614, 142?
We can find the highest common divisor of 313, 683, 614, 142 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, 683, 614, 142 i.e 1.
3. How can I use the GCD of 313, 683, 614, 142Calculator?
Out the numbers 313, 683, 614, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.