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 194, 766, 27, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 194, 766, 27, 925 is 1
GCD(194, 766, 27, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 194, 766, 27, 925 is 1
GCD(194, 766, 27, 925) = 1
Given Input numbers are 194, 766, 27, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 194, 766, 27, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 766, 27, 925 is 1.
Therefore, GCD of numbers 194, 766, 27, 925 is 1
Given Input Data is 194, 766, 27, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 194 is 2 x 97
Prime Factorization of 766 is 2 x 383
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 925 is 5 x 5 x 37
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(194, 766) = 74302
GCD(194, 766) = ( 194 x 766 ) / 74302
GCD(194, 766) = 148604 / 74302
GCD(194, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 194, 766, 27, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 194, 766, 27, 925?
GCD of 194, 766, 27, 925 is 1
2. Where do I get the detailed procedure to find GCD of 194, 766, 27, 925?
You can find a detailed procedure to find GCD of 194, 766, 27, 925 on our page.
3. How to find GCD of 194, 766, 27, 925 on a calculator?
You can find the GCD of 194, 766, 27, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.