GCD of 273, 420, 831 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 273, 420, 831 quickly. Get the easiest ways to solve the greatest common divisor of 273, 420, 831 i.e 3 in different methods as follows.
Given Input numbers are 273, 420, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (273, 420, 831) = 3.
Given numbers are 273, 420, 831
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 273, 420, 831 is 3.
Steps to Calculate GCD of 273, 420, 831 using LCM Formula
Given numbers are 273, 420, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 420) = 5460
GCD(273, 420) = ( 273 x 420 ) / 5460
= 273 / 420
= 273
Step2:
LCM(21, 831) = 5817
GCD(21, 831) = ( 21 x 831 ) / 5817
= 21 / 831
= 21
So, Greatest Common Divisor of 273, 420, 831 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 273, 420, 831
Given numbers are 273, 420, 831
The greatest common divisor of numbers 273, 420, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 420, 831 is 3.
FAQs on GCD of 273, 420, 831 Calculator
1. What is the GCD of 273, 420, 831?
GCD of given numbers 273, 420, 831 is 3
2. How to calculate the greatest common divisor of 273, 420, 831?
We can find the highest common divisor of 273, 420, 831 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 273, 420, 831 i.e 3.
3. How can I use the GCD of 273, 420, 831Calculator?
Out the numbers 273, 420, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.