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 25, 292, 340, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 292, 340, 907 is 1
GCD(25, 292, 340, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 292, 340, 907 is 1
GCD(25, 292, 340, 907) = 1
Given Input numbers are 25, 292, 340, 907
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 25, 292, 340, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 292, 340, 907 is 1.
Therefore, GCD of numbers 25, 292, 340, 907 is 1
Given Input Data is 25, 292, 340, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 907 is 907
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(25, 292) = 7300
GCD(25, 292) = ( 25 x 292 ) / 7300
GCD(25, 292) = 7300 / 7300
GCD(25, 292) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 25, 292, 340, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 292, 340, 907?
GCD of 25, 292, 340, 907 is 1
2. Where do I get the detailed procedure to find GCD of 25, 292, 340, 907?
You can find a detailed procedure to find GCD of 25, 292, 340, 907 on our page.
3. How to find GCD of 25, 292, 340, 907 on a calculator?
You can find the GCD of 25, 292, 340, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.