GCD of 858, 699, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 858, 699, 99 quickly. Get the easiest ways to solve the greatest common divisor of 858, 699, 99 i.e 3 in different methods as follows.
Given Input numbers are 858, 699, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
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 (858, 699, 99) = 3.
Given numbers are 858, 699, 99
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 699 are 3 x 233
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 858, 699, 99 is 3.
Steps to Calculate GCD of 858, 699, 99 using LCM Formula
Given numbers are 858, 699, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 699) = 199914
GCD(858, 699) = ( 858 x 699 ) / 199914
= 858 / 699
= 858
Step2:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 858, 699, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 858, 699, 99
Given numbers are 858, 699, 99
The greatest common divisor of numbers 858, 699, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 699, 99 is 3.
FAQs on GCD of 858, 699, 99 Calculator
1. What is the GCD of 858, 699, 99?
GCD of given numbers 858, 699, 99 is 3
2. How to calculate the greatest common divisor of 858, 699, 99?
We can find the highest common divisor of 858, 699, 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 858, 699, 99 i.e 3.
3. How can I use the GCD of 858, 699, 99Calculator?
Out the numbers 858, 699, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.