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 925, 180, 377, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 180, 377, 782 is 1
GCD(925, 180, 377, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 180, 377, 782 is 1
GCD(925, 180, 377, 782) = 1
Given Input numbers are 925, 180, 377, 782
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 925, 180, 377, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 180, 377, 782 is 1.
Therefore, GCD of numbers 925, 180, 377, 782 is 1
Given Input Data is 925, 180, 377, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 377 is 13 x 29
Prime Factorization of 782 is 2 x 17 x 23
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(925, 180) = 33300
GCD(925, 180) = ( 925 x 180 ) / 33300
GCD(925, 180) = 166500 / 33300
GCD(925, 180) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 377) = 1885
GCD(5, 377) = ( 5 x 377 ) / 1885
GCD(5, 377) = 1885 / 1885
GCD(5, 377) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 925, 180, 377, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 180, 377, 782?
GCD of 925, 180, 377, 782 is 1
2. Where do I get the detailed procedure to find GCD of 925, 180, 377, 782?
You can find a detailed procedure to find GCD of 925, 180, 377, 782 on our page.
3. How to find GCD of 925, 180, 377, 782 on a calculator?
You can find the GCD of 925, 180, 377, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.