GCD of 724, 106, 109 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 724, 106, 109 quickly. Get the easiest ways to solve the greatest common divisor of 724, 106, 109 i.e 1 in different methods as follows.
Given Input numbers are 724, 106, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (724, 106, 109) = 1.
Given numbers are 724, 106, 109
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 106 are 2 x 53
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 724, 106, 109 using LCM Formula
Given numbers are 724, 106, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 106) = 38372
GCD(724, 106) = ( 724 x 106 ) / 38372
= 724 / 106
= 724
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
So, Greatest Common Divisor of 724, 106, 109 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 724, 106, 109
Given numbers are 724, 106, 109
The greatest common divisor of numbers 724, 106, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 106, 109 is 1.
FAQs on GCD of 724, 106, 109 Calculator
1. What is the GCD of 724, 106, 109?
GCD of given numbers 724, 106, 109 is 1
2. How to calculate the greatest common divisor of 724, 106, 109?
We can find the highest common divisor of 724, 106, 109 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 724, 106, 109 i.e 1.
3. How can I use the GCD of 724, 106, 109Calculator?
Out the numbers 724, 106, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.