GCD of 135, 693, 648 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 135, 693, 648 quickly. Get the easiest ways to solve the greatest common divisor of 135, 693, 648 i.e 9 in different methods as follows.
Given Input numbers are 135, 693, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (135, 693, 648) = 9.
Given numbers are 135, 693, 648
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 32
Therefore, GCD of 135, 693, 648 is 9.
Steps to Calculate GCD of 135, 693, 648 using LCM Formula
Given numbers are 135, 693, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 693) = 10395
GCD(135, 693) = ( 135 x 693 ) / 10395
= 135 / 693
= 135
Step2:
LCM(9, 648) = 648
GCD(9, 648) = ( 9 x 648 ) / 648
= 9 / 648
= 9
So, Greatest Common Divisor of 135, 693, 648 is 9
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 135, 693, 648
Given numbers are 135, 693, 648
The greatest common divisor of numbers 135, 693, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 693, 648 is 9.
FAQs on GCD of 135, 693, 648 Calculator
1. What is the GCD of 135, 693, 648?
GCD of given numbers 135, 693, 648 is 9
2. How to calculate the greatest common divisor of 135, 693, 648?
We can find the highest common divisor of 135, 693, 648 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 135, 693, 648 i.e 9.
3. How can I use the GCD of 135, 693, 648Calculator?
Out the numbers 135, 693, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.