GCD of 199, 742, 696 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 199, 742, 696 quickly. Get the easiest ways to solve the greatest common divisor of 199, 742, 696 i.e 1 in different methods as follows.
Given Input numbers are 199, 742, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (199, 742, 696) = 1.
Given numbers are 199, 742, 696
The list of prime factors of all numbers are
Prime factors of 199 are 199
Prime factors of 742 are 2 x 7 x 53
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 199, 742, 696 using LCM Formula
Given numbers are 199, 742, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(199, 742) = 147658
GCD(199, 742) = ( 199 x 742 ) / 147658
= 199 / 742
= 199
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 199, 742, 696 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 199, 742, 696
Given numbers are 199, 742, 696
The greatest common divisor of numbers 199, 742, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 742, 696 is 1.
FAQs on GCD of 199, 742, 696 Calculator
1. What is the GCD of 199, 742, 696?
GCD of given numbers 199, 742, 696 is 1
2. How to calculate the greatest common divisor of 199, 742, 696?
We can find the highest common divisor of 199, 742, 696 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 199, 742, 696 i.e 1.
3. How can I use the GCD of 199, 742, 696Calculator?
Out the numbers 199, 742, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.