GCD of 803, 693, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 803, 693, 99 quickly. Get the easiest ways to solve the greatest common divisor of 803, 693, 99 i.e 11 in different methods as follows.
Given Input numbers are 803, 693, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 803 :
The positive integer divisors of 803 that completely divides 803 are.
1, 11, 73, 803
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
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 (803, 693, 99) = 11.
Given numbers are 803, 693, 99
The list of prime factors of all numbers are
Prime factors of 803 are 11 x 73
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 111
Therefore, GCD of 803, 693, 99 is 11.
Steps to Calculate GCD of 803, 693, 99 using LCM Formula
Given numbers are 803, 693, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(803, 693) = 50589
GCD(803, 693) = ( 803 x 693 ) / 50589
= 803 / 693
= 803
Step2:
LCM(11, 99) = 99
GCD(11, 99) = ( 11 x 99 ) / 99
= 11 / 99
= 11
So, Greatest Common Divisor of 803, 693, 99 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 803, 693, 99
Given numbers are 803, 693, 99
The greatest common divisor of numbers 803, 693, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 803, 693, 99 is 11.
FAQs on GCD of 803, 693, 99 Calculator
1. What is the GCD of 803, 693, 99?
GCD of given numbers 803, 693, 99 is 11
2. How to calculate the greatest common divisor of 803, 693, 99?
We can find the highest common divisor of 803, 693, 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 803, 693, 99 i.e 11.
3. How can I use the GCD of 803, 693, 99Calculator?
Out the numbers 803, 693, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.