GCD of 207, 312, 345 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 207, 312, 345 quickly. Get the easiest ways to solve the greatest common divisor of 207, 312, 345 i.e 3 in different methods as follows.
Given Input numbers are 207, 312, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (207, 312, 345) = 3.
Given numbers are 207, 312, 345
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 31
Therefore, GCD of 207, 312, 345 is 3.
Steps to Calculate GCD of 207, 312, 345 using LCM Formula
Given numbers are 207, 312, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 312) = 21528
GCD(207, 312) = ( 207 x 312 ) / 21528
= 207 / 312
= 207
Step2:
LCM(3, 345) = 345
GCD(3, 345) = ( 3 x 345 ) / 345
= 3 / 345
= 3
So, Greatest Common Divisor of 207, 312, 345 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 207, 312, 345
Given numbers are 207, 312, 345
The greatest common divisor of numbers 207, 312, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 312, 345 is 3.
FAQs on GCD of 207, 312, 345 Calculator
1. What is the GCD of 207, 312, 345?
GCD of given numbers 207, 312, 345 is 3
2. How to calculate the greatest common divisor of 207, 312, 345?
We can find the highest common divisor of 207, 312, 345 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 207, 312, 345 i.e 3.
3. How can I use the GCD of 207, 312, 345Calculator?
Out the numbers 207, 312, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.