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 92, 65, 19, 25 i.e. 1 largest integer that divides all the numbers equally.
GCD of 92, 65, 19, 25 is 1
GCD(92, 65, 19, 25) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 65, 19, 25 is 1
GCD(92, 65, 19, 25) = 1
Given Input numbers are 92, 65, 19, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Greatest Common Divisior
We found the divisors of 92, 65, 19, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 65, 19, 25 is 1.
Therefore, GCD of numbers 92, 65, 19, 25 is 1
Given Input Data is 92, 65, 19, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 65 is 5 x 13
Prime Factorization of 19 is 19
Prime Factorization of 25 is 5 x 5
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(92, 65) = 5980
GCD(92, 65) = ( 92 x 65 ) / 5980
GCD(92, 65) = 5980 / 5980
GCD(92, 65) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
GCD of 92, 65, 19, 25 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 92, 65, 19, 25?
GCD of 92, 65, 19, 25 is 1
2. Where do I get the detailed procedure to find GCD of 92, 65, 19, 25?
You can find a detailed procedure to find GCD of 92, 65, 19, 25 on our page.
3. How to find GCD of 92, 65, 19, 25 on a calculator?
You can find the GCD of 92, 65, 19, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.