GCD of 200, 714, 163 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 200, 714, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 714, 163 is 1
GCD(200, 714, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 714, 163 is 1
GCD(200, 714, 163) = 1
GCDof 200,714,163 is 1
Given Input numbers are 200, 714, 163
To find the GCD of numbers using factoring list out all the divisors of each number
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 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 200, 714, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 714, 163 is 1.
Therefore, GCD of numbers 200, 714, 163 is 1
Given Input Data is 200, 714, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 163 is 163
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 200, 714, 163 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(200, 714) = 71400
GCD(200, 714) = ( 200 x 714 ) / 71400
GCD(200, 714) = 142800 / 71400
GCD(200, 714) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 163) = 326
GCD(2, 163) = ( 2 x 163 ) / 326
GCD(2, 163) = 326 / 326
GCD(2, 163) = 1
GCD of 200, 714, 163 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 200, 714, 163
1. What is the GCD of 200, 714, 163?
GCD of 200, 714, 163 is 1
2. Where do I get the detailed procedure to find GCD of 200, 714, 163?
You can find a detailed procedure to find GCD of 200, 714, 163 on our page.
3. How to find GCD of 200, 714, 163 on a calculator?
You can find the GCD of 200, 714, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.