GCD of 508, 200, 371 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 508, 200, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 508, 200, 371 is 1
GCD(508, 200, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 508, 200, 371 is 1
GCD(508, 200, 371) = 1
GCDof 508,200,371 is 1
Given Input numbers are 508, 200, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 508, 200, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 200, 371 is 1.
Therefore, GCD of numbers 508, 200, 371 is 1
Given Input Data is 508, 200, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 371 is 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 508, 200, 371 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(508, 200) = 25400
GCD(508, 200) = ( 508 x 200 ) / 25400
GCD(508, 200) = 101600 / 25400
GCD(508, 200) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 371) = 1484
GCD(4, 371) = ( 4 x 371 ) / 1484
GCD(4, 371) = 1484 / 1484
GCD(4, 371) = 1
GCD of 508, 200, 371 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 508, 200, 371
1. What is the GCD of 508, 200, 371?
GCD of 508, 200, 371 is 1
2. Where do I get the detailed procedure to find GCD of 508, 200, 371?
You can find a detailed procedure to find GCD of 508, 200, 371 on our page.
3. How to find GCD of 508, 200, 371 on a calculator?
You can find the GCD of 508, 200, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
