GCD of 693, 448, 441 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 693, 448, 441 quickly. Get the easiest ways to solve the greatest common divisor of 693, 448, 441 i.e 7 in different methods as follows.
Given Input numbers are 693, 448, 441
In the factoring method, we have to find the divisors of all numbers
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 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (693, 448, 441) = 7.
Given numbers are 693, 448, 441
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 693, 448, 441 is 7.
Steps to Calculate GCD of 693, 448, 441 using LCM Formula
Given numbers are 693, 448, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 448) = 44352
GCD(693, 448) = ( 693 x 448 ) / 44352
= 693 / 448
= 693
Step2:
LCM(7, 441) = 441
GCD(7, 441) = ( 7 x 441 ) / 441
= 7 / 441
= 7
So, Greatest Common Divisor of 693, 448, 441 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 693, 448, 441
Given numbers are 693, 448, 441
The greatest common divisor of numbers 693, 448, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 448, 441 is 7.
FAQs on GCD of 693, 448, 441 Calculator
1. What is the GCD of 693, 448, 441?
GCD of given numbers 693, 448, 441 is 7
2. How to calculate the greatest common divisor of 693, 448, 441?
We can find the highest common divisor of 693, 448, 441 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 693, 448, 441 i.e 7.
3. How can I use the GCD of 693, 448, 441Calculator?
Out the numbers 693, 448, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.