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 931, 682, 294, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 682, 294, 200 is 1
GCD(931, 682, 294, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 682, 294, 200 is 1
GCD(931, 682, 294, 200) = 1
Given Input numbers are 931, 682, 294, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
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 931, 682, 294, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 682, 294, 200 is 1.
Therefore, GCD of numbers 931, 682, 294, 200 is 1
Given Input Data is 931, 682, 294, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 294 is 2 x 3 x 7 x 7
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(931, 682) = 634942
GCD(931, 682) = ( 931 x 682 ) / 634942
GCD(931, 682) = 634942 / 634942
GCD(931, 682) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 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 931, 682, 294, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 682, 294, 200?
GCD of 931, 682, 294, 200 is 1
2. Where do I get the detailed procedure to find GCD of 931, 682, 294, 200?
You can find a detailed procedure to find GCD of 931, 682, 294, 200 on our page.
3. How to find GCD of 931, 682, 294, 200 on a calculator?
You can find the GCD of 931, 682, 294, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.