GCD of 513, 360, 876 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 513, 360, 876 i.e. 3 largest integer that divides all the numbers equally.
GCD of 513, 360, 876 is 3
GCD(513, 360, 876) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 360, 876 is 3
GCD(513, 360, 876) = 3
GCDof 513,360,876 is 3
Given Input numbers are 513, 360, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 513, 360, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 360, 876 is 3.
Therefore, GCD of numbers 513, 360, 876 is 3
Given Input Data is 513, 360, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 876 is 2 x 2 x 3 x 73
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 513, 360, 876 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(513, 360) = 20520
GCD(513, 360) = ( 513 x 360 ) / 20520
GCD(513, 360) = 184680 / 20520
GCD(513, 360) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 876) = 2628
GCD(9, 876) = ( 9 x 876 ) / 2628
GCD(9, 876) = 7884 / 2628
GCD(9, 876) = 3
GCD of 513, 360, 876 is 3
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FAQs on GCD of numbers 513, 360, 876
1. What is the GCD of 513, 360, 876?
GCD of 513, 360, 876 is 3
2. Where do I get the detailed procedure to find GCD of 513, 360, 876?
You can find a detailed procedure to find GCD of 513, 360, 876 on our page.
3. How to find GCD of 513, 360, 876 on a calculator?
You can find the GCD of 513, 360, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.