GCD of 468, 688, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 468, 688, 343 quickly. Get the easiest ways to solve the greatest common divisor of 468, 688, 343 i.e 1 in different methods as follows.
Given Input numbers are 468, 688, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (468, 688, 343) = 1.
Given numbers are 468, 688, 343
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 468, 688, 343 using LCM Formula
Given numbers are 468, 688, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 688) = 80496
GCD(468, 688) = ( 468 x 688 ) / 80496
= 468 / 688
= 468
Step2:
LCM(4, 343) = 1372
GCD(4, 343) = ( 4 x 343 ) / 1372
= 4 / 343
= 4
So, Greatest Common Divisor of 468, 688, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 468, 688, 343
Given numbers are 468, 688, 343
The greatest common divisor of numbers 468, 688, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 688, 343 is 1.
FAQs on GCD of 468, 688, 343 Calculator
1. What is the GCD of 468, 688, 343?
GCD of given numbers 468, 688, 343 is 1
2. How to calculate the greatest common divisor of 468, 688, 343?
We can find the highest common divisor of 468, 688, 343 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 468, 688, 343 i.e 1.
3. How can I use the GCD of 468, 688, 343Calculator?
Out the numbers 468, 688, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.