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 823, 925, 186, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 925, 186, 280 is 1
GCD(823, 925, 186, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 925, 186, 280 is 1
GCD(823, 925, 186, 280) = 1
Given Input numbers are 823, 925, 186, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 823, 925, 186, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 925, 186, 280 is 1.
Therefore, GCD of numbers 823, 925, 186, 280 is 1
Given Input Data is 823, 925, 186, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(823, 925) = 761275
GCD(823, 925) = ( 823 x 925 ) / 761275
GCD(823, 925) = 761275 / 761275
GCD(823, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
GCD of 823, 925, 186, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 823, 925, 186, 280?
GCD of 823, 925, 186, 280 is 1
2. Where do I get the detailed procedure to find GCD of 823, 925, 186, 280?
You can find a detailed procedure to find GCD of 823, 925, 186, 280 on our page.
3. How to find GCD of 823, 925, 186, 280 on a calculator?
You can find the GCD of 823, 925, 186, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.