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 682, 428, 51, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 428, 51, 251 is 1
GCD(682, 428, 51, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 428, 51, 251 is 1
GCD(682, 428, 51, 251) = 1
Given Input numbers are 682, 428, 51, 251
To find the GCD of numbers using factoring list out all the divisors of each number
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 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 682, 428, 51, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 428, 51, 251 is 1.
Therefore, GCD of numbers 682, 428, 51, 251 is 1
Given Input Data is 682, 428, 51, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 51 is 3 x 17
Prime Factorization of 251 is 251
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(682, 428) = 145948
GCD(682, 428) = ( 682 x 428 ) / 145948
GCD(682, 428) = 291896 / 145948
GCD(682, 428) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 682, 428, 51, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 428, 51, 251?
GCD of 682, 428, 51, 251 is 1
2. Where do I get the detailed procedure to find GCD of 682, 428, 51, 251?
You can find a detailed procedure to find GCD of 682, 428, 51, 251 on our page.
3. How to find GCD of 682, 428, 51, 251 on a calculator?
You can find the GCD of 682, 428, 51, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.