GCD of 345, 687, 810 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 687, 810 quickly. Get the easiest ways to solve the greatest common divisor of 345, 687, 810 i.e 3 in different methods as follows.
Given Input numbers are 345, 687, 810
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
GCD of numbers is the greatest common divisor
So, the GCD (345, 687, 810) = 3.
Given numbers are 345, 687, 810
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 687 are 3 x 229
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 345, 687, 810 is 3.
Steps to Calculate GCD of 345, 687, 810 using LCM Formula
Given numbers are 345, 687, 810
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 687) = 79005
GCD(345, 687) = ( 345 x 687 ) / 79005
= 345 / 687
= 345
Step2:
LCM(3, 810) = 810
GCD(3, 810) = ( 3 x 810 ) / 810
= 3 / 810
= 3
So, Greatest Common Divisor of 345, 687, 810 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 345, 687, 810
Given numbers are 345, 687, 810
The greatest common divisor of numbers 345, 687, 810 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 687, 810 is 3.
FAQs on GCD of 345, 687, 810 Calculator
1. What is the GCD of 345, 687, 810?
GCD of given numbers 345, 687, 810 is 3
2. How to calculate the greatest common divisor of 345, 687, 810?
We can find the highest common divisor of 345, 687, 810 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 345, 687, 810 i.e 3.
3. How can I use the GCD of 345, 687, 810Calculator?
Out the numbers 345, 687, 810 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.