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, 835, 65, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 835, 65, 377 is 1
GCD(200, 835, 65, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 835, 65, 377 is 1
GCD(200, 835, 65, 377) = 1
Given Input numbers are 200, 835, 65, 377
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 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 200, 835, 65, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 835, 65, 377 is 1.
Therefore, GCD of numbers 200, 835, 65, 377 is 1
Given Input Data is 200, 835, 65, 377
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 835 is 5 x 167
Prime Factorization of 65 is 5 x 13
Prime Factorization of 377 is 13 x 29
The above numbers do not have any common prime factor. So GCD is 1
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, 835) = 33400
GCD(200, 835) = ( 200 x 835 ) / 33400
GCD(200, 835) = 167000 / 33400
GCD(200, 835) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 65) = 65
GCD(5, 65) = ( 5 x 65 ) / 65
GCD(5, 65) = 325 / 65
GCD(5, 65) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 377) = 1885
GCD(5, 377) = ( 5 x 377 ) / 1885
GCD(5, 377) = 1885 / 1885
GCD(5, 377) = 1
GCD of 200, 835, 65, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 835, 65, 377?
GCD of 200, 835, 65, 377 is 1
2. Where do I get the detailed procedure to find GCD of 200, 835, 65, 377?
You can find a detailed procedure to find GCD of 200, 835, 65, 377 on our page.
3. How to find GCD of 200, 835, 65, 377 on a calculator?
You can find the GCD of 200, 835, 65, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.