GCD of 314, 110, 169 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 314, 110, 169 quickly. Get the easiest ways to solve the greatest common divisor of 314, 110, 169 i.e 1 in different methods as follows.
Given Input numbers are 314, 110, 169
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
GCD of numbers is the greatest common divisor
So, the GCD (314, 110, 169) = 1.
Given numbers are 314, 110, 169
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 110 are 2 x 5 x 11
Prime factors of 169 are 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 314, 110, 169 using LCM Formula
Given numbers are 314, 110, 169
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 110) = 17270
GCD(314, 110) = ( 314 x 110 ) / 17270
= 314 / 110
= 314
Step2:
LCM(2, 169) = 338
GCD(2, 169) = ( 2 x 169 ) / 338
= 2 / 169
= 2
So, Greatest Common Divisor of 314, 110, 169 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 314, 110, 169
Given numbers are 314, 110, 169
The greatest common divisor of numbers 314, 110, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 110, 169 is 1.
FAQs on GCD of 314, 110, 169 Calculator
1. What is the GCD of 314, 110, 169?
GCD of given numbers 314, 110, 169 is 1
2. How to calculate the greatest common divisor of 314, 110, 169?
We can find the highest common divisor of 314, 110, 169 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 314, 110, 169 i.e 1.
3. How can I use the GCD of 314, 110, 169Calculator?
Out the numbers 314, 110, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.