Online GCD Calculator is useful to find the GCD of 113, 314, 423, 168 quickly. Get the easiest ways to solve the greatest common divisor of 113, 314, 423, 168 i.e 1 in different methods as follows.
Given Input numbers are 113, 314, 423, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (113, 314, 423, 168) = 1.
Given numbers are 113, 314, 423, 168
The list of prime factors of all numbers are
Prime factors of 113 are 113
Prime factors of 314 are 2 x 157
Prime factors of 423 are 3 x 3 x 47
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 113, 314, 423, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(113, 314) = 35482
GCD(113, 314) = ( 113 x 314 ) / 35482
= 113 / 314
= 113
Step2:
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
= 1 / 423
= 1
Step3:
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
= 1 / 168
= 1
So, Greatest Common Divisor of 113, 314, 423, 168 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 113, 314, 423, 168
The greatest common divisor of numbers 113, 314, 423, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 314, 423, 168 is 1.
1. What is the GCD of 113, 314, 423, 168?
GCD of given numbers 113, 314, 423, 168 is 1
2. How to calculate the greatest common divisor of 113, 314, 423, 168?
We can find the highest common divisor of 113, 314, 423, 168 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 113, 314, 423, 168 i.e 1.
3. How can I use the GCD of 113, 314, 423, 168Calculator?
Out the numbers 113, 314, 423, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.