GCD of 831, 297, 448 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 831, 297, 448 quickly. Get the easiest ways to solve the greatest common divisor of 831, 297, 448 i.e 1 in different methods as follows.
Given Input numbers are 831, 297, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
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
GCD of numbers is the greatest common divisor
So, the GCD (831, 297, 448) = 1.
Given numbers are 831, 297, 448
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 831, 297, 448 using LCM Formula
Given numbers are 831, 297, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 297) = 82269
GCD(831, 297) = ( 831 x 297 ) / 82269
= 831 / 297
= 831
Step2:
LCM(3, 448) = 1344
GCD(3, 448) = ( 3 x 448 ) / 1344
= 3 / 448
= 3
So, Greatest Common Divisor of 831, 297, 448 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 831, 297, 448
Given numbers are 831, 297, 448
The greatest common divisor of numbers 831, 297, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 297, 448 is 1.
FAQs on GCD of 831, 297, 448 Calculator
1. What is the GCD of 831, 297, 448?
GCD of given numbers 831, 297, 448 is 1
2. How to calculate the greatest common divisor of 831, 297, 448?
We can find the highest common divisor of 831, 297, 448 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 831, 297, 448 i.e 1.
3. How can I use the GCD of 831, 297, 448Calculator?
Out the numbers 831, 297, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.