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 842, 712, 251, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 712, 251, 925 is 1
GCD(842, 712, 251, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 712, 251, 925 is 1
GCD(842, 712, 251, 925) = 1
Given Input numbers are 842, 712, 251, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 842, 712, 251, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 712, 251, 925 is 1.
Therefore, GCD of numbers 842, 712, 251, 925 is 1
Given Input Data is 842, 712, 251, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 251 is 251
Prime Factorization of 925 is 5 x 5 x 37
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(842, 712) = 299752
GCD(842, 712) = ( 842 x 712 ) / 299752
GCD(842, 712) = 599504 / 299752
GCD(842, 712) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 251) = 502
GCD(2, 251) = ( 2 x 251 ) / 502
GCD(2, 251) = 502 / 502
GCD(2, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 842, 712, 251, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 712, 251, 925?
GCD of 842, 712, 251, 925 is 1
2. Where do I get the detailed procedure to find GCD of 842, 712, 251, 925?
You can find a detailed procedure to find GCD of 842, 712, 251, 925 on our page.
3. How to find GCD of 842, 712, 251, 925 on a calculator?
You can find the GCD of 842, 712, 251, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.