GCD of 924, 143, 286 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 924, 143, 286 quickly. Get the easiest ways to solve the greatest common divisor of 924, 143, 286 i.e 11 in different methods as follows.
Given Input numbers are 924, 143, 286
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
GCD of numbers is the greatest common divisor
So, the GCD (924, 143, 286) = 11.
Given numbers are 924, 143, 286
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 143 are 11 x 13
Prime factors of 286 are 2 x 11 x 13
The highest common occurrence is 111
Therefore, GCD of 924, 143, 286 is 11.
Steps to Calculate GCD of 924, 143, 286 using LCM Formula
Given numbers are 924, 143, 286
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 143) = 12012
GCD(924, 143) = ( 924 x 143 ) / 12012
= 924 / 143
= 924
Step2:
LCM(11, 286) = 286
GCD(11, 286) = ( 11 x 286 ) / 286
= 11 / 286
= 11
So, Greatest Common Divisor of 924, 143, 286 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 924, 143, 286
Given numbers are 924, 143, 286
The greatest common divisor of numbers 924, 143, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 143, 286 is 11.
FAQs on GCD of 924, 143, 286 Calculator
1. What is the GCD of 924, 143, 286?
GCD of given numbers 924, 143, 286 is 11
2. How to calculate the greatest common divisor of 924, 143, 286?
We can find the highest common divisor of 924, 143, 286 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 924, 143, 286 i.e 11.
3. How can I use the GCD of 924, 143, 286Calculator?
Out the numbers 924, 143, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.