GCD of 513, 969, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 513, 969, 96 quickly. Get the easiest ways to solve the greatest common divisor of 513, 969, 96 i.e 3 in different methods as follows.
Given Input numbers are 513, 969, 96
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (513, 969, 96) = 3.
Given numbers are 513, 969, 96
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 969 are 3 x 17 x 19
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 513, 969, 96 is 3.
Steps to Calculate GCD of 513, 969, 96 using LCM Formula
Given numbers are 513, 969, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 969) = 8721
GCD(513, 969) = ( 513 x 969 ) / 8721
= 513 / 969
= 513
Step2:
LCM(57, 96) = 1824
GCD(57, 96) = ( 57 x 96 ) / 1824
= 57 / 96
= 57
So, Greatest Common Divisor of 513, 969, 96 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 513, 969, 96
Given numbers are 513, 969, 96
The greatest common divisor of numbers 513, 969, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 969, 96 is 3.
FAQs on GCD of 513, 969, 96 Calculator
1. What is the GCD of 513, 969, 96?
GCD of given numbers 513, 969, 96 is 3
2. How to calculate the greatest common divisor of 513, 969, 96?
We can find the highest common divisor of 513, 969, 96 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 513, 969, 96 i.e 3.
3. How can I use the GCD of 513, 969, 96Calculator?
Out the numbers 513, 969, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.