GCD of 105, 189, 686, 744 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 189, 686, 744 quickly. Get the easiest ways to solve the greatest common divisor of 105, 189, 686, 744 i.e 1 in different methods as follows.
Given Input numbers are 105, 189, 686, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (105, 189, 686, 744) = 1.
Given numbers are 105, 189, 686, 744
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 105, 189, 686, 744 using LCM Formula
Given numbers are 105, 189, 686, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 189) = 945
GCD(105, 189) = ( 105 x 189 ) / 945
= 105 / 189
= 105
Step2:
LCM(21, 686) = 2058
GCD(21, 686) = ( 21 x 686 ) / 2058
= 21 / 686
= 21
Step3:
LCM(7, 744) = 5208
GCD(7, 744) = ( 7 x 744 ) / 5208
= 7 / 744
= 7
So, Greatest Common Divisor of 105, 189, 686, 744 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 189, 686, 744
Given numbers are 105, 189, 686, 744
The greatest common divisor of numbers 105, 189, 686, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 189, 686, 744 is 1.
FAQs on GCD of 105, 189, 686, 744 Calculator
1. What is the GCD of 105, 189, 686, 744?
GCD of given numbers 105, 189, 686, 744 is 1
2. How to calculate the greatest common divisor of 105, 189, 686, 744?
We can find the highest common divisor of 105, 189, 686, 744 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 105, 189, 686, 744 i.e 1.
3. How can I use the GCD of 105, 189, 686, 744Calculator?
Out the numbers 105, 189, 686, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.