Online GCD Calculator is useful to find the GCD of 112, 164, 314, 687 quickly. Get the easiest ways to solve the greatest common divisor of 112, 164, 314, 687 i.e 1 in different methods as follows.
Given Input numbers are 112, 164, 314, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (112, 164, 314, 687) = 1.
Given numbers are 112, 164, 314, 687
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 314 are 2 x 157
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 164, 314, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 164) = 4592
GCD(112, 164) = ( 112 x 164 ) / 4592
= 112 / 164
= 112
Step2:
LCM(4, 314) = 628
GCD(4, 314) = ( 4 x 314 ) / 628
= 4 / 314
= 4
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 112, 164, 314, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 164, 314, 687
The greatest common divisor of numbers 112, 164, 314, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 164, 314, 687 is 1.
1. What is the GCD of 112, 164, 314, 687?
GCD of given numbers 112, 164, 314, 687 is 1
2. How to calculate the greatest common divisor of 112, 164, 314, 687?
We can find the highest common divisor of 112, 164, 314, 687 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 112, 164, 314, 687 i.e 1.
3. How can I use the GCD of 112, 164, 314, 687Calculator?
Out the numbers 112, 164, 314, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.