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 912, 760, 82, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 760, 82, 925 is 1
GCD(912, 760, 82, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 760, 82, 925 is 1
GCD(912, 760, 82, 925) = 1
Given Input numbers are 912, 760, 82, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 912, 760, 82, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 760, 82, 925 is 1.
Therefore, GCD of numbers 912, 760, 82, 925 is 1
Given Input Data is 912, 760, 82, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 82 is 2 x 41
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(912, 760) = 4560
GCD(912, 760) = ( 912 x 760 ) / 4560
GCD(912, 760) = 693120 / 4560
GCD(912, 760) = 152
Step2:
Here we consider the GCD from the above i.e. 152 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(152, 82) = 6232
GCD(152, 82) = ( 152 x 82 ) / 6232
GCD(152, 82) = 12464 / 6232
GCD(152, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
GCD(2, 925) = 1850 / 1850
GCD(2, 925) = 1
GCD of 912, 760, 82, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 760, 82, 925?
GCD of 912, 760, 82, 925 is 1
2. Where do I get the detailed procedure to find GCD of 912, 760, 82, 925?
You can find a detailed procedure to find GCD of 912, 760, 82, 925 on our page.
3. How to find GCD of 912, 760, 82, 925 on a calculator?
You can find the GCD of 912, 760, 82, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.