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 292, 220, 25, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 292, 220, 25, 845 is 1
GCD(292, 220, 25, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 292, 220, 25, 845 is 1
GCD(292, 220, 25, 845) = 1
Given Input numbers are 292, 220, 25, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 292, 220, 25, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 220, 25, 845 is 1.
Therefore, GCD of numbers 292, 220, 25, 845 is 1
Given Input Data is 292, 220, 25, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 845 is 5 x 13 x 13
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(292, 220) = 16060
GCD(292, 220) = ( 292 x 220 ) / 16060
GCD(292, 220) = 64240 / 16060
GCD(292, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 845) = 845
GCD(1, 845) = ( 1 x 845 ) / 845
GCD(1, 845) = 845 / 845
GCD(1, 845) = 1
GCD of 292, 220, 25, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 292, 220, 25, 845?
GCD of 292, 220, 25, 845 is 1
2. Where do I get the detailed procedure to find GCD of 292, 220, 25, 845?
You can find a detailed procedure to find GCD of 292, 220, 25, 845 on our page.
3. How to find GCD of 292, 220, 25, 845 on a calculator?
You can find the GCD of 292, 220, 25, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.