GCD of 387, 300, 503 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 387, 300, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 300, 503 is 1
GCD(387, 300, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 300, 503 is 1
GCD(387, 300, 503) = 1
GCDof 387,300,503 is 1
Given Input numbers are 387, 300, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 387, 300, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 300, 503 is 1.
Therefore, GCD of numbers 387, 300, 503 is 1
Given Input Data is 387, 300, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 503 is 503
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 387, 300, 503 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(387, 300) = 38700
GCD(387, 300) = ( 387 x 300 ) / 38700
GCD(387, 300) = 116100 / 38700
GCD(387, 300) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 503) = 1509
GCD(3, 503) = ( 3 x 503 ) / 1509
GCD(3, 503) = 1509 / 1509
GCD(3, 503) = 1
GCD of 387, 300, 503 is 1
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FAQs on GCD of numbers 387, 300, 503
1. What is the GCD of 387, 300, 503?
GCD of 387, 300, 503 is 1
2. Where do I get the detailed procedure to find GCD of 387, 300, 503?
You can find a detailed procedure to find GCD of 387, 300, 503 on our page.
3. How to find GCD of 387, 300, 503 on a calculator?
You can find the GCD of 387, 300, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.