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, 944, 41, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 944, 41, 670 is 1
GCD(200, 944, 41, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 944, 41, 670 is 1
GCD(200, 944, 41, 670) = 1
Given Input numbers are 200, 944, 41, 670
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 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 200, 944, 41, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 944, 41, 670 is 1.
Therefore, GCD of numbers 200, 944, 41, 670 is 1
Given Input Data is 200, 944, 41, 670
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 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 41 is 41
Prime Factorization of 670 is 2 x 5 x 67
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, 944) = 23600
GCD(200, 944) = ( 200 x 944 ) / 23600
GCD(200, 944) = 188800 / 23600
GCD(200, 944) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 41) = 328
GCD(8, 41) = ( 8 x 41 ) / 328
GCD(8, 41) = 328 / 328
GCD(8, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 200, 944, 41, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 944, 41, 670?
GCD of 200, 944, 41, 670 is 1
2. Where do I get the detailed procedure to find GCD of 200, 944, 41, 670?
You can find a detailed procedure to find GCD of 200, 944, 41, 670 on our page.
3. How to find GCD of 200, 944, 41, 670 on a calculator?
You can find the GCD of 200, 944, 41, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.