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 25, 770, 460, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 770, 460, 933 is 1
GCD(25, 770, 460, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 770, 460, 933 is 1
GCD(25, 770, 460, 933) = 1
Given Input numbers are 25, 770, 460, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 25, 770, 460, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 770, 460, 933 is 1.
Therefore, GCD of numbers 25, 770, 460, 933 is 1
Given Input Data is 25, 770, 460, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 933 is 3 x 311
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(25, 770) = 3850
GCD(25, 770) = ( 25 x 770 ) / 3850
GCD(25, 770) = 19250 / 3850
GCD(25, 770) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 460) = 460
GCD(5, 460) = ( 5 x 460 ) / 460
GCD(5, 460) = 2300 / 460
GCD(5, 460) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 933) = 4665
GCD(5, 933) = ( 5 x 933 ) / 4665
GCD(5, 933) = 4665 / 4665
GCD(5, 933) = 1
GCD of 25, 770, 460, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 770, 460, 933?
GCD of 25, 770, 460, 933 is 1
2. Where do I get the detailed procedure to find GCD of 25, 770, 460, 933?
You can find a detailed procedure to find GCD of 25, 770, 460, 933 on our page.
3. How to find GCD of 25, 770, 460, 933 on a calculator?
You can find the GCD of 25, 770, 460, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.