GCD of 195, 714, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 195, 714, 99 quickly. Get the easiest ways to solve the greatest common divisor of 195, 714, 99 i.e 3 in different methods as follows.
Given Input numbers are 195, 714, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (195, 714, 99) = 3.
Given numbers are 195, 714, 99
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 195, 714, 99 is 3.
Steps to Calculate GCD of 195, 714, 99 using LCM Formula
Given numbers are 195, 714, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 714) = 46410
GCD(195, 714) = ( 195 x 714 ) / 46410
= 195 / 714
= 195
Step2:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 195, 714, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 195, 714, 99
Given numbers are 195, 714, 99
The greatest common divisor of numbers 195, 714, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 714, 99 is 3.
FAQs on GCD of 195, 714, 99 Calculator
1. What is the GCD of 195, 714, 99?
GCD of given numbers 195, 714, 99 is 3
2. How to calculate the greatest common divisor of 195, 714, 99?
We can find the highest common divisor of 195, 714, 99 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 195, 714, 99 i.e 3.
3. How can I use the GCD of 195, 714, 99Calculator?
Out the numbers 195, 714, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.