GCD of 684, 724, 349 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 684, 724, 349 quickly. Get the easiest ways to solve the greatest common divisor of 684, 724, 349 i.e 1 in different methods as follows.
Given Input numbers are 684, 724, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (684, 724, 349) = 1.
Given numbers are 684, 724, 349
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 724 are 2 x 2 x 181
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 684, 724, 349 using LCM Formula
Given numbers are 684, 724, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 724) = 123804
GCD(684, 724) = ( 684 x 724 ) / 123804
= 684 / 724
= 684
Step2:
LCM(4, 349) = 1396
GCD(4, 349) = ( 4 x 349 ) / 1396
= 4 / 349
= 4
So, Greatest Common Divisor of 684, 724, 349 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 684, 724, 349
Given numbers are 684, 724, 349
The greatest common divisor of numbers 684, 724, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 724, 349 is 1.
FAQs on GCD of 684, 724, 349 Calculator
1. What is the GCD of 684, 724, 349?
GCD of given numbers 684, 724, 349 is 1
2. How to calculate the greatest common divisor of 684, 724, 349?
We can find the highest common divisor of 684, 724, 349 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 684, 724, 349 i.e 1.
3. How can I use the GCD of 684, 724, 349Calculator?
Out the numbers 684, 724, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.