GCD of 200, 406, 67 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, 406, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 406, 67 is 1
GCD(200, 406, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 406, 67 is 1
GCD(200, 406, 67) = 1
GCDof 200,406,67 is 1
Given Input numbers are 200, 406, 67
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 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 200, 406, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 406, 67 is 1.
Therefore, GCD of numbers 200, 406, 67 is 1
Given Input Data is 200, 406, 67
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 406 is 2 x 7 x 29
Prime Factorization of 67 is 67
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 200, 406, 67 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, 406) = 40600
GCD(200, 406) = ( 200 x 406 ) / 40600
GCD(200, 406) = 81200 / 40600
GCD(200, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
GCD of 200, 406, 67 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 200, 406, 67
1. What is the GCD of 200, 406, 67?
GCD of 200, 406, 67 is 1
2. Where do I get the detailed procedure to find GCD of 200, 406, 67?
You can find a detailed procedure to find GCD of 200, 406, 67 on our page.
3. How to find GCD of 200, 406, 67 on a calculator?
You can find the GCD of 200, 406, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.