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 687, 745, 30, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 745, 30, 200 is 1
GCD(687, 745, 30, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 745, 30, 200 is 1
GCD(687, 745, 30, 200) = 1
Given Input numbers are 687, 745, 30, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
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
Greatest Common Divisior
We found the divisors of 687, 745, 30, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 745, 30, 200 is 1.
Therefore, GCD of numbers 687, 745, 30, 200 is 1
Given Input Data is 687, 745, 30, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 745 is 5 x 149
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(687, 745) = 511815
GCD(687, 745) = ( 687 x 745 ) / 511815
GCD(687, 745) = 511815 / 511815
GCD(687, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 687, 745, 30, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 745, 30, 200?
GCD of 687, 745, 30, 200 is 1
2. Where do I get the detailed procedure to find GCD of 687, 745, 30, 200?
You can find a detailed procedure to find GCD of 687, 745, 30, 200 on our page.
3. How to find GCD of 687, 745, 30, 200 on a calculator?
You can find the GCD of 687, 745, 30, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.