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 785, 925, 908, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 925, 908, 264 is 1
GCD(785, 925, 908, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 925, 908, 264 is 1
GCD(785, 925, 908, 264) = 1
Given Input numbers are 785, 925, 908, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 785, 925, 908, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 925, 908, 264 is 1.
Therefore, GCD of numbers 785, 925, 908, 264 is 1
Given Input Data is 785, 925, 908, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(785, 925) = 145225
GCD(785, 925) = ( 785 x 925 ) / 145225
GCD(785, 925) = 726125 / 145225
GCD(785, 925) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 908) = 4540
GCD(5, 908) = ( 5 x 908 ) / 4540
GCD(5, 908) = 4540 / 4540
GCD(5, 908) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 785, 925, 908, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 925, 908, 264?
GCD of 785, 925, 908, 264 is 1
2. Where do I get the detailed procedure to find GCD of 785, 925, 908, 264?
You can find a detailed procedure to find GCD of 785, 925, 908, 264 on our page.
3. How to find GCD of 785, 925, 908, 264 on a calculator?
You can find the GCD of 785, 925, 908, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.