GCD of 657, 270, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 657, 270, 99 quickly. Get the easiest ways to solve the greatest common divisor of 657, 270, 99 i.e 9 in different methods as follows.
Given Input numbers are 657, 270, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
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 (657, 270, 99) = 9.
Given numbers are 657, 270, 99
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 32
Therefore, GCD of 657, 270, 99 is 9.
Steps to Calculate GCD of 657, 270, 99 using LCM Formula
Given numbers are 657, 270, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 270) = 19710
GCD(657, 270) = ( 657 x 270 ) / 19710
= 657 / 270
= 657
Step2:
LCM(9, 99) = 99
GCD(9, 99) = ( 9 x 99 ) / 99
= 9 / 99
= 9
So, Greatest Common Divisor of 657, 270, 99 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 657, 270, 99
Given numbers are 657, 270, 99
The greatest common divisor of numbers 657, 270, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 270, 99 is 9.
FAQs on GCD of 657, 270, 99 Calculator
1. What is the GCD of 657, 270, 99?
GCD of given numbers 657, 270, 99 is 9
2. How to calculate the greatest common divisor of 657, 270, 99?
We can find the highest common divisor of 657, 270, 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 657, 270, 99 i.e 9.
3. How can I use the GCD of 657, 270, 99Calculator?
Out the numbers 657, 270, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.