GCD of 924, 585, 716 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 924, 585, 716 quickly. Get the easiest ways to solve the greatest common divisor of 924, 585, 716 i.e 1 in different methods as follows.
Given Input numbers are 924, 585, 716
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 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (924, 585, 716) = 1.
Given numbers are 924, 585, 716
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 585 are 3 x 3 x 5 x 13
Prime factors of 716 are 2 x 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 924, 585, 716 using LCM Formula
Given numbers are 924, 585, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 585) = 180180
GCD(924, 585) = ( 924 x 585 ) / 180180
= 924 / 585
= 924
Step2:
LCM(3, 716) = 2148
GCD(3, 716) = ( 3 x 716 ) / 2148
= 3 / 716
= 3
So, Greatest Common Divisor of 924, 585, 716 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 924, 585, 716
Given numbers are 924, 585, 716
The greatest common divisor of numbers 924, 585, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 585, 716 is 1.
FAQs on GCD of 924, 585, 716 Calculator
1. What is the GCD of 924, 585, 716?
GCD of given numbers 924, 585, 716 is 1
2. How to calculate the greatest common divisor of 924, 585, 716?
We can find the highest common divisor of 924, 585, 716 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, 585, 716 i.e 1.
3. How can I use the GCD of 924, 585, 716Calculator?
Out the numbers 924, 585, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.